Absolute Value Functions

Which function is graphed?

• f(x) = -3|-x + 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = -5|x + 1| + 4

• f(x) = -3|x - 4| + 1

What is the equation of the graph below?

• 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 + 2 I 

• f(x) = - I x - 2 I 

• f(x) =  I x + 2 I 

• f(x) =  I x - 2 I 

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 up 4 units

• Compresses wider, shifts down 4 units

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9 

• f(x) = 2|x - 1| - 9

Write an absolute value function given the following transformations:

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Which function is graphed?

• f(x) = 2|x + 2| - 3

• f(x) = |¹/₂x + 2| - 3

• f(x) = |¹/₂x + 3| - 2

• f(x) = 4|¹/₂x + 3| - 2

What is the equation of the absolute value function?

• f(x)= |x+4|

• f(x)= |x-4|

• f(x)= |x| + 4

• f(x)= |x| - 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

• Right 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

• Right 4
  Down 9