Transformations of Functions

Front

What is a cube root function?

Back

Front

What is an absolute value function?

Back

Front

What does the transformation f(-x) - 4 represent?

Back

This transformation reflects the function over the y-axis and shifts it down 4 units.

Front

What does the transformation -2f(x - 1) + 2 represent?

Back

This transformation shifts the function 1 unit to the right and reflects it over the x-axis, then shifts it up 2 units.

Front

What is a square root function?

Back

Front

What is the effect of a negative sign in front of a function?

Back

A negative sign in front of a function reflects the graph over the x-axis.

Front

What does a positive constant added to a function do?

Back

Adding a positive constant shifts the graph of the function upward.

Front

What does a negative constant subtracted from a function do?

Back

Subtracting a negative constant shifts the graph of the function downward.

Front

What does the transformation f(x - h) represent?

Back

This transformation shifts the graph of the function to the right by h units.

Front

What does the transformation f(x + h) represent?

Back

This transformation shifts the graph of the function to the left by h units.