Transformations of Function Graphs

Describe the transformation from the parent function.

• Flatter/Vertical compress

• Steeper/Vertical stretch

• Shift up 2 units

• Shift down 2 units

f(x) = −|x+4|

• A

• B

• C

• D

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

Identify the equation of the graph.

• y = |x - 1| - 1

• y = |x + 1| - 1

• y = |x - 1| +1

• y = |x + 1| + 1

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x+1|+3

• y=-2|x-1|+3

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

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Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

What are the transformations of this functions compared to the parent function?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Describe the transformation.

• Left 1unit, Reflect over x-axis, up 2 units

• Left 1unit, Reflect over y-axis, down 2 units

• Right 1 unit, Reflect over x-axis, up 2 units

• Right 1unit, Reflect over y-axis, up 2 units