Absolute Value Graph Transformation

Describe the transformation of the equation below:

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 of the equation below:

y = I x| - 4

• Left 4

• Right 4

• Up 4

• Down 4

Describe the transformation of the equation below:

y = I x |+ 3

• Left 3

• Right 3

• Up 3

• Down 3

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 is vertically compressed by a factor of 2/5 and shifted up 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

What is the transformation for the function: y = -3|x| ?

• stretched and shifted down

• compressed and shifted down

• opens down and compressed

• opens down and stretched

Write an absolute value function given the following transformations from the parent function: Reflection across the x-axis horizontal shift right 2 units vertical shift down 7 units

f(x) = −|x+4|

• A

• B

• C

• D