Quadratic functions and equations
231 videos • 667 views • by Ms Shaws Math Class
1
Solve quadratic equation by using perfect squares. x^2 -3x +3 = 0.
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2
A quadratic equation x^2 -x +1 = 0 has two solutions. Evaluate (1-a)(1-b) + (2 -a)(2-b).
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3
Solve quadratic equation by using perfect squares. 3x^2 -4x +1 =0.
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4
Find constant k for quadratic equation with double root. x^2 -kx +5 =0.
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5
Solve quadratic equation by using perfect squares. 2x^2 + 5x =7.
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6
Solve quadratic equation using perfect squares -x^2 -3x +5 =0.
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7
Find the constant k for quadratic equation with double root x^2 + 2x +k^2 = 0. Complete the Square
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8
Find the constant k for quadratic equation with double root (3x -4)^2 -k^2 =0. Complete the Square
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9
Find the constant k for quadratic equation with double root kx^2 + 3x +2 =0. Complete the Square
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10
Find constant k for quadratic equation with double root 2x^2 + 3x + k -5 = 0.
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11
Find constant k for quadratic equation with double root x^2 + kx + (k-1) =0.
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12
Find constant k for quadratic equation with double root, 1/3 x^2 +(k+1)x +8 =0.
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13
Find value of p+q when solution to quadratic equation-2x^2 + 5x +1 = 0 is x = p + - sqrt(q).
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14
Find value of p+q when solution to quadratic equation 3(x-1)^2 =4 is x = p plus minus sqrt (q).
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15
Find value of p+q when solution to -(x+1)^2 +5 =0 is x = p plus minus sqrt(q).
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16
Find the range of constant a for quadratic equation (x+2)^2 = a +2 that has no real number solution
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17
Find constant a for quadratic equation x^2 +3x +3a =0 that has two real number solutions.
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18
Find constant a for quadratic equation ax^2 +x +2 =0 that has one real number solution.
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19
Find constant a for quadratic equation 3x^2 -x +a =0 that has no real number solution
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20
Find constant a for quadratic equation x^2 + (a+1)x + (a+3)/2 =0 that has a double root.
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21
Find constant a for quadratic equation x^2 + x + a =0 with two number solutions x =2, x = b.
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22
Find constant a for quadratic equation x^2 +2ax + b =0 that has double root at x = 3.
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23
Find constant a for quadratic equation x^2 +ax +b =0 with real number solution x = 1 + sqrt(2).
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24
Find constant a for quadratic equation x^2 -ax-2b^2 =0 with two different solutions x = 4 + sqrt(2a)
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25
Solve equation using quadratic formula (x+1)^2 = 3(x+2).
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26
Solve equation using quadratic formula (x+2)^2 +3(x+2)^2 -2 =0.
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27
Solve quadratic equation -(x-1)^2/2 +x = 0.4(x+1) using quadratic formula
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28
Solve quadratic equation (x +3)(2x +6) = 5 using quadratic formula
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29
Find the value of a+ b when quadratic equation (2x +1)^2 = 3 has solutions x = a + - b sqrt(3).
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30
Find value of a-b when quadratic equation 2x^2 -8x +1 =0 has solutions x = (a + - 3 sqrt(b))/6.
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31
Find value of a-b when quadratic equation 2x^2 -8x +1 =0 has solutions x = (a + - 3 sqrt(b))/6.
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32
Find value of ab when quadratic equation ax^2 +5x +2 =0 has solutions x = (-5 + - 2 sqrt(b))/4.
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33
Find value of b/a when quadratic equation 3x^2 -5x +1 =0 has solutions x = a + - sqrt(b).
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34
Find value of (a+b)/ab when quadratic equation x^2 -3x +1 = 0 has solutions x = (a + - 2 sqrt(b))/2
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35
Find value of (a-b)/(a^2 -b^2) when quadratic equ ax^2 + 3x -3b =0 has solutions x = -1 + - sqrt(5)
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36
State number and type of solutions for quadratic equations 4x^2 -4x +1 =0, -x^2 +x -5 = 0.
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37
State number and number of solutions for quadratic equations kx^2 -(k+5)x +1 =0, 3x^2 -x -k^2 =0
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38
Find value of a for quadratic equation x^2 +5x +a = x +2 with no real solution.
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39
Find value of a for quadratic equation x^2 +3ax -2a + 3 =0 with only one real solution.
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40
Find value of a for quadratic equation (a+3)x^2 -2ax +a -1 =0 with two different real solutions
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41
Find value of a for 2 quadratic equations with conditions, has double root, two real solutions.
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42
Find value of a for quadratic equation 2x^2 +(2a-1)x +a^2 +1/4 =0 with real number solutions
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43
Find value of a for quadratic equation (a-1)x^2 +2(a-1)x + (a+1) = 0 with real number solutions
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44
Find value of a for quadratic equation x^2 -3x +2a =0 with two different positive real solutions
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45
Find value of a for quadratic equation ax^2 +2x +3 =0 with two different negative real solutions
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46
Find value of a for equation x^2 -4a +3a =0 with two real number solutions with different signs.
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47
Determine value of a for quadratic equation (a+2)x^2 -2ax +a -1 =0 with real number solutions
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48
Determine range of a given two different quadratic equations, two different solutions, one solution
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49
Find value of a for quadratic equation x^2 (a^2 +a -6)x -a -1 =0 with two different real solutions
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50
Use quadratic techniques to solve n^6 - 1 =0. Factoring. Complex solutions
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51
Use quadratic techniques to solve y^(2/3) -7y^(1/3) + 12 = 0. Factoring
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52
Use quadratic techniques to solve y^(-2/3) - 7y^(-1/3) + 12 = 0. Factoring
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53
Use quadratic techniques to solve y^(-1) - 8y^(-1/2) + 12 = 0. Factoring
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54
Use quadratic techniques to solve y^3 - 28y^(3/2) + 27 = 0. Factoring
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55
Use quadratic techniques to solve t^(4/3) - 29t^(2/3) + 100 = 0. Factoring
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56
Use quadratic techniques to solve p^(2/3) - p^(1/3) - 20 = 0. Factoring
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57
Use quadratic techniques to solve x^(1/2) - 5x^(1/4) + 6 = 0. Factoring
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58
Use quadratic techniques to solve y^6 - 8y^3 = 0. Factoring
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59
Use quadratic techniques to solve n - sqrt(n) + 25 = 0. Factoring
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60
Use quadratic techniques to solve w - 12sqrt(w) + 27 = 0. Factoring
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61
Use quadratic techniques to solve n^4 - 49n^2 = 0. Factoring
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62
Use quadratic techniques to solve m^4 - 625 = 0. Factoring
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63
Use quadratic techniques to solve t^4 - 21t^2 + 80 = 0. Factoring
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64
Use quadratic techniques to solve x^4 -50x^2 + 49 = 0. Factoring
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65
Use quadratic techniques to solve x^4 - 29x^2 + 100 = 0. Factoring
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66
Use quadratic techniques to solve x- 5 sqrt(x) + 6 = 0. Factoring
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67
Use quadratic techniques to solve 1/x^2 - 7/x + 12 = 0. Factoring
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68
Use quadratic techniques to solve y^4 - 5y^2 +4 = 0. Factoring
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69
Use quadratic techniques to solve m^6 - 16m^3 + 64=0. Factoring
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70
Use quadratic techniques to solve x^4 - 6x^2 = -8. Factoring
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71
Use quadratic techniques to solve x^4 = 49. Factoring
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72
Write each equation in quadratic form. x^(1/8) + 2x^(1/16) + 1 = 0. X^8 + 2x^4 +1 =0
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73
Solve each quadratic inequality algebraically 9x^2 +6x +1 less than 0, 2x^2 + 3 less than 8x
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74
Solve each quadratic equation algebraically x^2 + 64 greater than 16x, x^2 + 4/3x + 4/9 less than 0
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75
Solve each quadratic inequality algebraically 9z^2 less than = 12z^2, 4x^2 +4x +1 greater than 0
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76
Solve each quadratic inequality algebraically 5x^2 + 10 less than = 27x, 9x^2 +31x + 12 less than 0
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77
Solve each quadratic inequality algebraically x^2 - x -20 greater than 0, x^2 -10x +16 less than 0
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78
Solve quadratic inequality by graphing y less than x^2 +8x -5. Write in vertex form
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79
Solve quadratic inequality by graphing y less than = x^2 + 4
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80
Solve each quadratic inequality algebraically 2m^2 - m less than 1, y^2 less than -8
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81
Solve each quadratic inequality algebraically 0 less than 6x^2 - x^2 -5, c^2 less than = 4
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82
Solve each quadratic inequality algebraically x^2 +2x less than 0, x^2 -16 less than 0
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83
Solve quadratic inequality by graphing. Y greater = x^2 + 5x +4. Y greater than -2x^2 + 4x
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84
Write quadratic equation y= -3x^2 + 6x -5 in vertex form and graph function Vertex axis of symmetry
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85
Write quadratic equation y = -2x^2 + 1 in vertex form and graph function. Vertex, axis of symmetry
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86
Write equation of parabola that passes through the given points (0, 0), (2, 3), (-1, 4)
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87
Write equation of parabola that passes through the given points (0,1), (2, -1), (1, 3)
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88
Write quadratic equation y= -3x^2 + 6x -5 in vertex form. Name vertex and axis of symmetry
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89
Write quadratic equation y= -9x^2 + 12x -4 in vertex form. Name vertex and axis of symmetry
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90
Write quadratic equation y= 2x^2 + 16x + 19 in vertex form. Name vertex and axis of symmetry
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91
Write quadratic equation y = 2/3x^2 + 4x +6 in vertex form. Name vertex and axis of symmetry
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92
Write quadratic equation y = -2x^2 -16x -32 in vertex form. Name vertex and axis of symmetry
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93
Write quadratic equation y = -6x^2 in vertex form. Name vertex, axis of symmetry. Direction opening
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94
Write quadratic equation y = -2x^2 + 8x -5 in vertex form. Name vertex and axis of symmetry
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95
Write quadratic equation y = x^2 + 4x -3 in vertex form. Name vertex and axis of symmetry. Opening
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96
Write quadratic equation y= -1/2x^2 + 2x -6 in vertex form. Name vertex and axis of symmetry
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97
Write quadratic equation y = 2x^2 + 4x in vertex form. Name vertex and axis of symmetry. Opening
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98
Write quadratic equation y= x^2 + 2x +5 in vertex form. Name vertex and axis of symmetry. Opening
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99
Write quadratic equation y= x^2 - 6x +11 in vertex form. Name vertex and axis of symmetry opening
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100
Find k given a root of quadratic 2x^2 + kx -21=0 and x^2 - 13x + k =0. Sum and product of roots
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101
Write quadratic equation with roots 2+ - i and (1+ 6i)/4 and (1-6i)/4. Sum and product of roots
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102
Write quadratic equation with roots 2+ - i and (1+ 6i)/4 and (1-6i)/4. Sum and product of roots
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103
Write quadratic equation with roots + - 7i and (2 + - sqrt(10))/5. Sum and product of roots
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104
Write quadratic equation with roots 3 + - sqrt(6) and 7 + - 2i. Sum and product of roots
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105
Write quadratic equation with roots -2/3 and -4/5. And -2sqrt(5), 4 sqrt(5). Sum product of roots
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106
Write a quadratic equation with roots 7, -3 and also 4, 1/3. Sum and product of roots
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107
Solve equation 2/3x^2 - 1/2x -1 = 0. Check solutions by finding the sum and product of roots
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108
Solve equation 3x^2 + 8x = 3. Check solutions by finding the sum and product of roots
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109
Solve equation-5x^2 - x + 4 =0. Check solutions by finding the sum and product of roots
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110
Solve equation 4r^2 - 9=0. Check solutions with the sum and product of roots
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111
Solve equation 7x^2 - 5x = 0. Check solutions by finding the sum and product of roots
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112
Solve equation 2n^2 + 5n +6 = 0. Check solutions by finding the sum and product of roots
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113
Solve equation x^2 + 3x + 6 = 0. Check solutions by finding the sum and product of roots
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114
Solve equation x^2 - 7x + 4 = 0. Check solutions by finding the sum and product of roots
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115
Solve equation 3c^2 + 7c -2 = 0 Check solutions by finding the sum and product of roots
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116
Solve equation 7p^2 - 11p = 6 and check solutions by finding the sum and product of roots
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117
Solve equation 25x^2 = 36 and check solutions by finding the sum and product of roots
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118
Solve equation x^2 -7x=18, then find sum and product of roots to check solutions
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119
State the sum and product of roots without solving equations -2x^2 -5x=6 and 7x^2 +14x -3=0
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120
State the sum and product of roots without solving equations x^2 -x+1=0 and x^2 +3x -28=0
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121
Find the discriminant and describe the nature of the roots Solve 6w^2 -2w -1=0. Quadratic Formula
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122
Find the discriminant and describe the nature of the roots Solve 12x^2 + 2x -4=0. Quadratic Formula
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123
Find the discriminant and describe the nature of the roots Solve x^2 - 1/2x + 1/16 = 0 Quadratic For
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124
Find the discriminant and describe the nature of the roots. Solve 2m^2 + 7m = 0 Quadratic Formula
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125
Find the discriminant and describe the nature of the roots. Solve 12x^2 - x - 6 =0. Quadratic Form
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126
Find the discriminant and describe the nature of the roots. Solve 5w^2 - 2w + 4 = 0. Quadratic Form
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127
Find the discriminant and describe the nature of the roots. Solve equation 7u^2 + 6u + 2 = 0
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128
Find the discriminant and describe the nature of the roots. Solve equation 3t^2 + 9t - 2 = 0
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129
Find the discriminant and describe the nature of the roots. Solve n^2 - 3n = 40. Quadratic Formula
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130
Find the discriminant and describe the nature of the roots. Solve equation 9u^2 -24u + 16 = 0
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131
Find the discriminant and describe the nature of the roots. Solve r^2 = 3r. Quadratic Formula
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132
Find the discriminant and describe the nature of the roots. Solve equation x^2 -9x + 14 =0
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133
Find the discriminant and describe the nature of the roots. Solve equation-2b^2 + b - 5 = 0
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134
Find the discriminant and describe the nature of the roots. Solve equation 2x^2 - 7 = -3x
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135
Find the discriminant and describe the nature of the roots. Solve equation p^2 + 12p = -4
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136
Find the discriminant and describe the nature of the roots. Solve equation m^2 - 8m = -14
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137
Find the discriminant and describe the nature of the roots. Solve equation 3t^2 - 5/4 t - 1/2 = 0
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138
Find the discriminant and describe the nature of the roots. Solve r^2 - 3/5 r + 2/25 = 0
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139
Find the discriminant and describe the nature of the roots. Solve the equation 2y^2 + y -15 =0
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140
Find the discriminant and describe the nature of the roots. Then solve equation 3x^2 + 5x = 2
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141
Solve each equation by graphing. Y= (x+5)^2 -1 and x^2 + 2x = 0
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142
Graph each function. Name vertex and axis of symmetry y= x^2 -10x + 25, x^2 +12x + 36
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143
Identify the quadratic, linear, and constant term for function-2/3(x-6)^2 + 4
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144
Write y= x^2 + 4x +6 in vertex form. Name vertex and axis of symmetry. Graph quadratic function
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145
Write y = x^2 -10x + 21 in vertex form. Name vertex and axis of symmetry. Graph quadratic function
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146
Write quadratic function in vertex form. Name vertex and axis of symmetry y = x^2 -4x +1 Graph
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147
Identify the quadratic, linear and constant term for functions f(x) = -(x^2 - 5)^2 - x^2
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148
Find the exact solution to the equation by completing the square 2d^2 - 10d + 5 = 0
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149
Find the exact solution to the equation by completing the square 3a^2 + a - 2 = 0
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150
Find the exact solution to the equation by completing the square q^2 - 9q + 11 = 0
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151
Find the exact solution to the equation by completing the square p^2 + 8p + 10 = 0
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152
Find the exact solution to the equation by completing the square 2b^2 - 5b -6 = 0
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153
Find the exact solution to the equation by completing the square 2x^2 + 8x - 3 = 0
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154
Find the exact solution to the equation by completing the square 3x^2 - 5x + 1 =0
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155
Find the exact solution to the equation by completing the square v^2 + 18 = 9v
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156
Find the exact solution to the equation by completing the square d^2 + d -5 = 0
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157
Find the exact solution to the equation by completing the square n^2 + 16n -7 = 0
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158
Find the exact solution to the equation by completing the square x^2 -14x +19 = 0
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159
Find the value of c that makes a perfect square trinomial b^2 - 5/3 b + c and u^2 - u/4 + c
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160
Find the value of c that makes each trinomial a perfect square m^2 + 11m + c and p^2 - p + c
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161
Find the exact solution to the equation by completing the square-2x^2 + 13x +7 = 0
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162
Find the exact solution of the equation by completing the square 2x^2 - 3x + 1 =0
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163
Find the exact solution of the equation by completing the square t^2 + 3t - 8 =0
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164
Find the exact solution for the equation by completing the square y^2 + 12y + 4 =0
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165
Find the exact solution for the equation by completing the square s^2 -10s + 21 =0
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166
Find the exact solution to the equation by completing the square x^2 + 4x + 1 =0
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167
Find the exact solution to the equation by completing the square y^2 + 2y - 143 =0
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168
Find the exact solution of the equation by completing the square y^2 -4y -5 = 0
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169
Solve each equation by factoring 6e^3 = 5e^2 + 6e and 9 = 64p^2
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170
Solve each equation by factoring 36k^2 = 25 and 12m^3 - 18m^2 = 15m
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171
Solve each equation by factoring 36k^2 = 25 and 12m^3 - 18m^2 = 15m
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172
Solve each equation by factoring 16v^2 +19v +6 =0 and 4j^2 +6 =11j
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173
Solve each equation by factoring 5w^2 -35w +60= 0 and 3d^2 + 24d +45 =0
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174
Solve each equation by factoring 7y^2 = 4y and c^2 = 2c +99
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175
Solve each equation by factoring n^2 + 25 = 10n and 9z = 10z^2
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176
Solve each equation by factoring x^2 - 4x -12 =0 and y^2 -16y +64 =0
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177
Solve equation by factoring-2x^2 -5x +12=0
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178
Solve equation by factoring 4k^2 - 35k -9 =0
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179
Solve each equation by factoring 3s^2 -13s =10 and 16x^2 = 49
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180
Solve each equation by factoring x^2 +3x -130=0 and x^2 -12x = -36
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181
Solve each equation by factoring x^2 + 13x +40 =0 and x^2 -7x -44=0
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182
Solve each equation by factoring z^2 x12z +27=0 and x^2 -4x -12= 0
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183
Graph exponential and quadratic on same graph. Find intersection. Find minimum by differentiation
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184
Find area of square given perimeter of square equals perimeter of rectangle Math IB
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185
Factorize and find positive solution to quadratic equation. Math IB
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186
Solve the equations to find a and b given mappings. Find value of c. Math IB. Quadratics
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187
Find the value of k for quadratic function. Math IB
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188
Find the value of p given diagram of quadratic function. Find b and c given zeros. Math IB
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189
Given graph of quadratic function write down solutions. Find the range. Math IB
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190
Given the x value of minimum of quadratic function find k. Graph from x = -1 to x =3
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191
Given a quadratic function find the value of a. Find the axis of symmetry and range of function
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192
Find the value of b and c in quadratic equation given axis of symmetry and an x intercept
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193
Quadratic Function Review. Find a and b of quadratic equation. What is y intercept
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194
Review Quadratic Functions for Math IB. Find height of ball thrown. How far is horizontal distance
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195
Which expression is equivalent to quadratic expression by factoring 24x^2 - 22x + 5
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196
Which statement is true about g(x) = f(x) -9 when f(x) = x^2
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197
The graph of quadratic function is shown. Which statements are true, x and y intercepts, symmetry
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198
Find the range given a quadratic equation
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199
Given three points of quadratic function write a quadratic equation. Determine points from graph
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200
Which graph best represents the given quadratic equation
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