Transformations of Functions

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Determine the transformation

• Left 5, up 1
• Left 5, down 1
• Right 5, up 1
• Right 5, down 1

Determine the transformation

• down 2
• flip, down 2
• flip, left 2
• left 2

Determine the vertex for each absolute value function

• (-3, -1)
• (-3, 1)
• (3, -1)
• (3, 1)

What type of shape is an absolute value function?

• Line
• V
• U
• Z

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)

Choose the correct equation for the graph.

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

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