Absolute Value Transformations

Describe the transformation that is applied to the parent function.

f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Tags

CCSS.HSF.BF.B.3

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up
• Shift down

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the equation below from the parent function of y = I x I

y = I x |+ 3

• Left 3

• Right 3

• Up 3

• Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Write the equation for a graph that shifts down 9.

• y=|x|-9
• y=|x-9|
• y=-9|x|
• y=|x|+9

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4
• Right 4
• Up 4
• Down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

What is the equation of the graph below?

• f(x) = I x I -1
• f(x) = I x I +1
• f(x) = - I x I -1
• f(x) = -I x I +1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7