Absolute Value Functions Properties

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units
• Shift down 4 units
• Shift left 4 units
• Shift right 4 units

What is the range of the absolute value function?

What is the equation of the graph below?

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

• Right 2 down 5

What translations have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 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

• (-4, 2)

• (-2, 5)

• (-4, -2)

• (2, 5)

• (3,1)

• (-3,1)

• (1,-3)

• (0,0)