Absolute Value Transformations

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

Write an absolute value function given the following transformations:

Reflection

Right 2 units

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 = IxI

y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

Does the following have a vertical stretch or vertical shrink from the parent function y = |x|?

y = 5|x|

• Vertical Stretch

• Vertical Shrink

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

• stretched and shifted down

• a shrink and shifted down

• reflected and a shrink

• reflected and stretched

What is the equation of the graph below? (Think of which way it moved from the parent function)

• f(x) = I x + 2 I

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I

What is the equation of the graph below?

• f(x) = I x I -1
• f(x) = I x I +1
• f(x) = - I x I -1
• f(x) = -I x I +1

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

y = -2 I x - 3 I + 3

• reflected, stretched by 2, right 3, up 3

• reflected, stretched by 2, left 3, up 3.

• reflected, shrunk by 2, right 3, up 3

• reflected, shrunk by 2, left 3, up 3