Quadratic Functions and Transformations

The graph shown here has _________.

• one real solution

• two real solutions

• infinitely many solutions

• no real solutions

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

Which statements are true about the quadratic parent function? Select all that apply.

• It has only one x-intercept.

• It opens downward.

• The range is all real numbers.

• The domain is all real numbers.

The graph shown here represents which quadratic function?

• MINIMUM

• MAXIMUM

• CANNOT BE DETERMINED

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

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

• CANNOT BE DETERMINED

Given a quadratic equation in standard form,

y = ax² + bx + c,

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

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

• TRUE

• FALSE

If the "bx" term is missing in a standard form quadratic, the equation for the axis of symmetry is x = 0.

(example: y = -2x² - 10)

• TRUE

• FALSE