Transformations of Absolute Value Functions

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is y = |x|.

Front

What does a negative sign in front of an absolute value function indicate?

Back

A negative sign indicates a reflection over the x-axis.

Front

What does a coefficient less than 1 in front of an absolute value function indicate?

Back

It indicates a vertical compression.

Front

What does a coefficient greater than 1 in front of an absolute value function indicate?

Back

It indicates a vertical stretch.

Front

What does a positive value added outside the absolute value function do?

Back

It translates the graph upward.

Front

What does a negative value added outside the absolute value function do?

Back

It translates the graph downward.

Front

What does a positive value added inside the absolute value function do?

Back

It translates the graph to the left.

Front

What does a negative value added inside the absolute value function do?

Back

It translates the graph to the right.

Front

How do you represent a reflection over the y-axis in an absolute value function?

Back

By replacing x with -x in the function.

Front

What is the transformation for the equation y = -|x| + 4?

Back

Reflect over the x-axis and translate up 4.