Absolute Value Transformation

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

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

Choose the correct vertex for the function f(x) = 5|x-10| - 5

• (-10,5)

• (-10,-5)

• (10,-5)

• (10,5)

What is the axis of symmetry for the function f(x) = 4|x+2| - 5 ?

• x = -2

• x = 2

• x = 4

• x = -5

• left 1

  up 5

• right 1

  up 5

• V.C

• V.S.

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 

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

What is the equation of the graph below?

• f(x) = - I x + 2 I 

• f(x) = - I x - 2 I 

• f(x) =  I x + 2 I 

• f(x) =  I x - 2 I 

What is the equation of the graph below?

• f(x) = I x I -1

• f(x) = I x I +1

• f(x) = - I x I -1

• f(x) = -I x I +1

What is the domain of the absolute value function?

• (4, 0)

• (0, 4)

• (-infinity, infinity)

• [4, infinity)