Conceptual Quadratics

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.

Tags

CCSS.HSF-IF.C.7A

What is the range of this quadratic function?

• y > -8

• y < -8

• x = all real numbers

• y = all real numbers

Using the graph of y = -1.5x² + 12x - 23 shown here, what are the values of x when y = -5?

• x = 4

• x = 2, 6

• x = 3.2, 4.8

• cannot be determined on the graph

The graph shown here represents which quadratic function?

Tags

CCSS.HSF-IF.C.7A

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

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

• CANNOT BE DETERMINED

Tags

CCSS.HSF-IF.C.7A

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

• TRUE

• FALSE

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.HSF-IF.C.7A