Absolute Value Function Graphs

Determine the vertex of the function.

• (0, -5)

• (0, 5)

• (-2, 5)

• (-2, -5)

Tags

CCSS.HSF-IF.C.7D

What type of shape is an absolute value function?

• Line

• V

• U

• Z

Tags

CCSS.HSF-IF.C.7D

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

Write an absolute value function given the following transformations: Reflection across the x-axis Horizontal shift right 2 units Vertical shift down 7 units

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x | 

• f(x) = -3|x| - 7

• f(x) = -|-x + 1| + 4

• f(x) = 5|x - 4| - 1

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

f(x) = −|x+4|

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

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.C.7D