Reflections of Quadratic Functions

Does the transformation from the solid black to the dashed orange quadratic function include a reflection?

• Yes

• No

Does the transformation from the solid black to the dashed orange quadratic function include a reflection?

• Yes

• No

Tags

CCSS.HSF-IF.C.7A

If red represents y = x², which equation represents blue?

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

Match the equation to its description.

• Reflected over x, right 2 and up 1

• Reflected over x, left 2 and up 1

• Reflected over x, right 2 and down 1

• Reflected over x, left 2 and down 1

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)

a indicates a ​ (a)   over the x-axis.

-a (opens ​ (b)   .)

+a (opens ​ (c)   .)

• Reflection

• Down

• Up

• Vertical

• Horizontal

• Left

• Right

A quadratic is reflected down when the value of a is negative.

• TRUE

• FALSE

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2

• y = -x² + 2

• y = x² - 2

• y = -(x + 2)²