Quadratic Review

What are the other names for the "solution(s)" to a quadratic equation?**Select all that apply!**

• root(s)

• x-intercept(s)

• zero(s)

• y-intercept(s)

Given a quadratic equation in standard form,

y = ax² + bx + c,

how do you find the equation for the AXIS OF SYMMETRY?

The graph shown here has _________.

• one real solution

• two real solutions

• infinitely many solutions

• no real solutions

If there is only one zero of a quadratic function located at (3.5, 0), what is the equation of the axis of symmetry?

• x = 7

• x = 3.5

• y = 0

• x = 0

• cannot be determined from this information

What is the quadratic parent function?

Which graph will have the farthest vertical shift away from the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

• MINIMUM, because the value of "a" is positive.

• MAXIMUM, because "a" times "c" is -12.

• CANNOT BE DETERMINED

If a quadratic equation has 2 solutions, they will be equal distance from the axis of symmetry.

• TRUE

• FALSE

Describe the transformations from f(x) = x² to g(x) = -0.3x² + 4

• vertical compression and shift up

• reflection over x-axis, vertical compression, and shift up

• reflection over x-axis, vertical stretch, and shift up

• vertical stretch and shift down

Which graph will be the most vertically stretched compared to the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6