Absolute Value Functions & Graphs

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? You can click the picture to zoom in!

• f(x) = I x + 2 I 

• f(x) = I x  I + 2

• f(x) = I x  I - 2

• f(x) = I x - 2 I 

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

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

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts right

• Stretches wider, shifts right

• Stretches more narrow, shifts left

• Stretches wider, shifts left

The vertex is a ___________for this graph.

• maximum

• minimum

What is the range for this graph?

What is the range?

• [-7, 5]

• [-9, 3]

Which letter(s) does the function have? f(x) = 4|x-2|+1

• H

• A

• K

• None

What is the value of K?

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

• 4

• 2

• -3

• 0