Quadratic Equations

Given the zeros below, what is the quadratic equation?

• y=x² +9x -8

• y=x² +9x +8

• y=x² -9x -8

• y=x² -9x-8

Which Quadratic function has a vertex at (-2,7) and opens down?

• y = -3(x + 2)² + 7

• y = (x - 2)² + 7

• y = -12(x + 2)² - 7

• y = -2(x - 2)² + 7

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

• y = -4(x - 2)(x - 4)

• y = -4(x + 2)(x + 4)

• y = 4(x - 2)(x - 4)

• y = -0.25(x - 2)(x - 4)

Write the equation of the quadratic function that has a x-intercepts at 9 and 1 and passes through the point (0, -18).

• y = x² + 9x - 18

• y = -2(x - 9)(x - 1)

• y = -2(x + 9)(x + 1)

• y = 2(x + 9)(x + 1)

• -1 and 3
• 1 and -3
• -1 and -3
• 1 and 3

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• All of the above

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

When solving a quadratic equation, if you have the number under the radical what would your answer look like?

• 2 decimals/radicals

• 2 whole/fractions

• no real solution

• 1 answer

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions