Quadratic Qualities

What is the range of this quadratic function?

y = x² - 8

• y > -8

• y < -8

• x = all real numbers

• y = all real numbers

Based on this table of values of a quadratic function, what is the VERTEX?

• (-4, 0)

• cannot be determined

• (-1, -9)

• (0, -8)

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

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?

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.