Absolute Value Functions and Transformations

The shape of the function is

• a U shape

• a V shape

• randomly placed curved lines

• an X shape

I 5 I

• 5
• -5

I -808 I

• 808
• -808

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5
• Shifts right 5
• Shifts up 5
• Shifts down 5

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up
• Shift down

Does the following get wider  or skinnier from the parent function y = |x|?
y = 5|x| 

• Wider
• Skinnier

Write the equation for a graph that shifts down 9.

• y=|x|-9
• y=|x-9|
• y=-9|x|
• y=|x|+9

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 
• y = |x - 2| - 7 
• y = -|x - 2| - 7
• y = -|x - 2| + 7

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4
• Right 4
• Up 4
• Down 4

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit