Absolute Value Functions

What type of shape is an absolute value function?

• Line

• V

• U

• Z

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = -|2x - 3| + 5

• f(x) = -|x + 5| - 3

• f(x) = -|2x + 6| + 5

• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = 2|x - 5|

• f(x) = |x - 5|

• f(x) = |x - 5| + 5

• f(x) = |x| + 5

Tags

CCSS.HSF-IF.C.7D

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

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = 2|x + 2| - 3

• f(x) = |¹/₂x + 2| - 3

• f(x) = |¹/₂x + 3| - 2

• f(x) = 4|¹/₂x + 3| - 2

Tags

CCSS.HSF-IF.C.7D

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

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts right 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

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

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9 

• f(x) = 2|x - 1| - 9