Absolute Value Transformations

Describe the transformation of the equation below:

y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

What is the transformation shown below:

y = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Choose the correct translated function.

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What is the equation of the graph below?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

What is the equation of the graph below?

• f(x) = - I x + 2 I 
• f(x) = - I x - 2 I 
• f(x) =  I x + 2 I 
• f(x) =  I x - 2 I 

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.A.1

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.7D

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 
• y = |x - 2| - 7 
• y = -|x - 2| - 7
• y = -|x - 2| + 7

Tags

CCSS.HSF.BF.B.3