Absolute Function Graphs

Determine the transformation

• down 2

• flip, down 2

• flip, left 2

• left 2

Determine the vertex of the function

• (-2, 5)

• (-2, -5)

• (2, 5)

• (2, -5)

Determine the vertex for each absolute value function

• (-3, -1)

• (-3, 1)

• (3, -1)

• (3, 1)

Determine the vertex of the function.

• (0, -5)

• (0, 5)

• (-2, 5)

• (-2, -5)

What type of shape is an absolute value function?

• Line

• V

• U

• Z

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

What is the vertex of the following Absolute Value graph?

• y = 0

• (0,0)

• x=0

• (-1,0)