Absolute Value Transformations

Absolute parent function Transformations

Multiple Choice

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

Multiple Choice

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Multiple Choice

What is the equation of the absolute value function?

• f(x)= |x+4|

• f(x)= |x-4|

• f(x)= |x| + 4

• f(x)= |x| - 4

Multiple Choice

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

Multiple Choice

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

Multiple Choice

What is the vertex of of the graph of this equation? $$y=8\left|x-3\right|+7$$  

• (3, 7)

• (8, 7)

• (-3, 7)

• (-3, 8)

Multiple Choice

What is the vertex of the graph of this equation? $$y=-\left|x+6\right|$$  

• (-1, 6)

• (-6, 1)

• (-6, 0)

• (6, 0)

Multiple Choice

Choose the graph that matched the equation.
y = |x - 1|

Multiple Choice

Choose the equation that matches the transformation:

--Reflection over the x-axis

• $$y=-|x|$$

• $$y=|-x|$$

• $$y=\frac{1}{2}|x|$$

• $$y=2|x|$$

Multiple Choice

Choose the equation that matches the transformation:
--Vertical compression by a factor of 1/9

• $$y=|x|+9$$

• $$y=|x|\ -9$$

• $$y=\frac{1}{9}|x|$$

• $$y=9|x|$$

Multiple Choice

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|

Multiple Choice

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

Multiple Choice

What is the vertex of the following function?

y= -4|x+2|+5

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)