Algebra 2 Unit 1 Absolute Value Functions

What is the equation of the absolute value function?

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

Tags

CCSS.HSF-IF.C.7D

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.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.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 = IxI
y = I x + 2 I - 5

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.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

Tags

CCSS.HSF-IF.C.7D

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

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

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
• Right 4
  Down 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

What is the range of the absolute value function?

• (-infinity, infinity)
• [3, infinity)
• [0, infinity)
• (-infinity, 3]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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