Unit 1 Absolute Value Review Transformations

  . 
The blue graphs is the parent function f(x)=|x|, the red must be

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Name the parent function.

• linear
• quadratic
• absolute value
• cubic

Tags

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What shifts have occurred?

• left 1, up 5
• left 1, down 5
• right 1, down 5
• right 1, up 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 2 I + 4

• Left 2 up 4
• Right 2 up 4
• Left 2 down 4
• Right 2 down 4

Write the equation of the transformed graph. 

• f(x) = ∣x - 3∣ - 2
• f(x) = -∣x + 3∣ + 2
• f(x) = -∣x - 3∣ - 2
• f(x) = ∣x + 3∣ + 2

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

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit
• Reflects over x-axis, compresses wider, shifts up 1 unit
• Reflects over x-axis, stretches more narrow, shifts right 1 unit
• Reflects over x-axis, stretches more narrow, shifts up 1 unit