Creating Quadratic Mathematical Models

What is the product of 3x -1 and -5x + 6?

• 15^x2 + 13x + 6

• 15x² + 23x - 6

• -15x² + 13x -6

• -15x² + 23x -6

Which expression is equivalent to (8x -5) (2x² + 3x -6)

• 16x²+ 14x -11

• 16x² + 14x -63

• 16x³ + 14x² -63x + 30

• 16x³ + 34x² + 33x -30

If the quadratic equation x² + 18x + 74 =0 is rewritten in the form (x-p)² = q, what is the value of q?

• -155

• -74

• 7

• 9

Lucas solved the equation 2x² - 20x +16 =0 by completing the square. Which of the following is one of the steps in the process?

• (x-5)² = -8

• (x -5)² = 17

• 2 (x -5)² = 9

• 2(x-5)² = -16

Tahlia solved the equation x² - x -56 = 0 by factoring

Which of the following are factors. Select all that apply.

• (x+4)

• (x - 4)

• (x + 7)

• (x-7)

• X - 8

Which of the following are solutions to x² - x -56 =0?

• x = 4 and x = -14

• x = -4 and x = 14

• x = 7 and x= -8

• x = -7 and x =8

Given the function f(x ) = 8x² + 32 -96. Which statement is true?

• the zeros are -2 and -6

• the zeros are -2 and 6

• the zeros are 2 and -6

• the zeros are 2 and 6

Given the function f(x) = 8x² + 32x -96

• the minimum value is -128

• the minimum value is 128

• the maximum value is -128

• the maximum value is 128

Which of the following are the zeros for the function below?

p(x) = x (x +3)(x-2)

• x = -3

• x =-2

• x =0

• x =2

• x =3

Which of the following equations best represents the graph?

• y = (x -3)(x+5)

• y= (x -3) (x -5)

• y = (x+3)(x+5)

• y = (x+3)(x-5)