Transformations of Absolute Value Function

What is the transformation for the following equation:

y = 5|x|

• Vertical Compression

• Vertical Stretch

• Up 5

• Left 5

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

Determine the transformation

• reflection over the y-axis, down 2

• reflection over the x-axis, down 2

• reflection over the x-axis, right 2

• right 2

Describe each transformation

• Vertical stretch by factor of 1/4, right 3, down 1

• Vertical stretch by factor of 1/4, right 3, up 1

• Vertical Compression by factor of 1/4, left 3, down 1

• Vertical Compression by factor of 1/4, left 3, up 1

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

f(x) = −|x+4|

• A

• B

• C

• D

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 + 3 I

• Left 3

• Right 3

• Up 3

• Down 3