Quadratics Readiness

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

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.

What is the range of this quadratic function?

• y > -8

• y < -8

• x = all real numbers

• y = all real numbers

The graph shown here represents which quadratic function?

• 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

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

If a quadratic equation in standard form has a negative c-value, the parabola opens downward.

[y = ax² + bx + c]

• TRUE, "c" controls the direction of the parabola.

• FALSE, "a" controls the direction of the parabola.