Absolute Value Functions & Transformations

Select the correct set of transformations.

f(x) = 1/3 |x + 4| - 2

• Horizontal translation left 4 units

  Vertical shrink by a factor of 3 units

  Vertical translation down 2 units

• Horizontal translation right 4 units

  Vertical shrink by a factor of 3 units

  Vertical translation down 2 units

• Horizontal translation left 4 units

  Vertical shrink by a factor of 3 units

  Vertical translation up 2 units

• Horizontal translation left 4 units

  Vertical stretch by a factor of 3 units

  Vertical translation down 2 units

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 absolute value function?

• f(x)= 4|x+3|
• f(x)= 1/4 |x+3|
• f(x)= 1/4 |x - 3|
• f(x)= 4|x - 3|

Which graph matches the function:
y = -2|x - 3| + 5

• A
• B
• C
• D

What is the equation of the graph below? You can click the picture to zoom in!

• y = - | x + 2| + 4
• y = - | x - 2| + 4
• y = | x - 2 | + 4
• y = | x - 2| - 4

What is the equation for the absolute value parent function that has been vertically compressed by a factor of 1/4, reflected over the y-axis, and has been translated up 3 units?

• y = 4|-x| - 3

• y = -1/4|x| + 3

• y = 1/4|-x| - 3

• y = 1/4|-x| + 3

Determine if the translation is a vertical, horizontal, reflection, or dilation

• Horizontal

• Dilation

• Vertical

• Reflection

Determine if the translation is a vertical, horizontal, reflection, or dilation

• Horizontal

• Dilation

• Vertical

• Reflection

Determine if the translation is a vertical, horizontal, reflection, or dilation

• Horizontal

• Dilation

• Vertical

• Reflection

Determine if the translation is a vertical, horizontal, reflection, or dilation

• Horizontal

• Dilation

• Vertical

• Reflection