Absolute value functions

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

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

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

Describe the transformations of the absolute value equation.

• Flips to V shape, compresses wider (by a factor of 3), shifts right 1 unit

• Flips to V shape, compresses wider (by a factor of 3), shifts up 1 unit

• Flips to V shape, stretches more narrow (by a factor of 3), shifts right 1 unit

• Flips to V shape, stretches more narrow (by a factor of 3), shifts up 1 unit

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units
• Stretches more narrow, shifts down 4 units
• Compresses wider, shifts up 4 units
• Compresses wider, shifts down 4 units

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph below?

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

Which function is graphed?

• f(x) = 2|x - 4| - 3
• f(x) = ¹/₂ |x + 4| - 3
• f(x) = ¹/₂|x - 3| - 4
• f(x) = 2|x + 3| + 4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function is graphed?

• f(x) = -3|-x + 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = 5|x - 1| + 4

• f(x) = -3|x - 4| + 1