Absolute Value Functions Transformations

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

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

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

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts up 4 units

• Compresses wider, shifts down 4 units

Describe the transformation of the equation below:

y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

Describe the transformation of the equation below from the parent function of y = IxI

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

What type of function is shown?

• linear

• quadratic

• square root

• absolute value

What is the vertex of the following function?
y= 4|x|+1

• (0,1)

• (4,1)

• (-4,1)

• (4,-1)

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)

• (-2,5)

• (-4,-2)

• (2,5)

Using the pictured graph, what is f(-3)? 

• -3

• -1

• 1

• 3