Graphing Absolute Value Functions

Select all that apply. (May have more than one answer)

Which letter(s) does the function have? 

f(x) = -|x+3|

• H

• A

• K

• None

Select all that apply. (May have more than one answer)

Which letter(s) does the function have?

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

• H

• A

• K

• None

What is the value of h?

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

• 4

• 2

• 1

• 0

What is the value of A?

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

• -4

• 2

• -2

• 3

What is the value of K?

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

• 4

• 2

• -3

• 0

What is the vertex of the function?

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

• (-3, -2)

• (3, -2)

• (3, 2)

• (-3, 2)

What is the vertex of the function?

f(x) = 2|x - 4|

• (2, -4)

• (2, 4)

• (-4, 0)

• (4, 0)

Select all that apply. (May have more than one correct answer)

f(x) = |x - 6| + 2

• Horizontal translation right 6 units

• Horizontal translation left 6 units

• Vertical translation up 2 units

• Vertical translation down 2 units

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

Select all that apply. (May have more than one answer)

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

• Horizontal translation left 4 units

• Horizontal translation right 4 units

• Reflection over the x-axis

• Vertical stretch by a factor of 1/2