Horizontal and Vertical Shifts of Absolute Value Functions

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

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

y = I x |+ 3

• Left 3

• Right 3

• Up 3

• Down 3

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 transformation of the equation below from the parent function of y = I x I
y = I x + 3 I

• Left 3
• Right 3
• Up 3
• Down 3

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

Which of the following describes the horizontal and vertical translations of the following functions:

f(x) = |x + 4| - 9

• Left 4

  up 9

• Left 4

  Down 9

• Right 4

  up 9

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts down 4 units