Absolute Value Function Graphs and Transformations

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|

What is the parent function for absolute values?

• y = x

• y = |x|

• y = x²

• y = 2^x

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

Write the absolute value equation given the following transformations:
Reflection over the x-axis
Horizontal shift right 2 units
Vertical shift down 7 units

• right 3

• left 3

• Down 2

• Shrink by 1/2

• stretch by 2

Choose the equation that best matches the graphed function.

• reflected over x axis,

• stretched by 2

• shrunk by 2

• down 3

• right 3

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x-3|+1

• y=-2|x-1|+3

What is the equation of the absolute value function?

• f(x)= 4|x+3|

• f(x)= 1/4 |x+3|

• f(x)= 1/4 |x - 3|

• f(x)= 4|x - 3|

What is the range of the absolute value function?

• (-infinity, infinity)

• [3, infinity)

• [0, infinity)

• (-infinity, 3]