Transformations of Absolute Value

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

Describe the transformations of the equation above:

• Stretches, shifts up 4 units

• Stretches, shifts down 4 units

• Shrinks, shifts up 4 units

• Shrinks, shifts down 4 units

Describe the transformations of the absolute value equation.

• reflection, shrinks, shifts right 1 unit

• reflection, shrinks, shifts up 1 unit

• reflection, stretches, shifts right 1 unit

• reflection, stretches, shifts up 1 unit

What is the range of the graph above?

• (-∞,∞)

• (-∞,0]

• [0,∞)

• [2,∞)

What is the vertex?

• (3, 1)

• (0, 1)

• (1, 3)

• No vertex

Describe the transformation of the equation below:

y = I x - 2 I + 4

• Left 2 up 4

• Right 2 up 4

• Left 2 down 4

• Right 2 down 4

Describe the transformation of the equation below:

y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

What are the transformations for the equation below:

y=-3|x+1|-3 ?

• Reflection, stretch factor of 3, left 1, and down 3

• Reflection, shrink factor of 3, right 1, and down 3

• Down 6 and right 1

• More narrow, right 1, and down 3

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