Transformations of Absolute Value Functions

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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 

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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|

Tags

CCSS.HSF-IF.C.7D

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

• A
• B
• C
• D

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformations that took the absolute value parent function to g(x) = -|1/2(x+3)|-1

• Reflection over the y-axis, horizontal compression by a factor of 1/2, translation left 3 units and down 1 unit

• Reflection over the x-axis, horizontal stretch by a factor of 2, translation left 3 units and down 1 unit

• Reflection over the x-axis, horizontal stretch by a factor of 1/2, translation left 3 units and down 1 unit

• Reflection over the y-axis, horizontal compression by a factor of 2, translation right 3 units and down 1 unit

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5