transformation of functions

Front

What is a vertical shift in a function?

Back

A vertical shift occurs when a constant is added to or subtracted from a function, moving it up or down on the graph.

Front

Back

The graph of the function is shifted 3 units up.

Front

Back

The graph of the function is shifted 1 unit down.

Front

What is a horizontal shift in a function?

Back

A horizontal shift occurs when a constant is added to or subtracted from the input of a function, moving it left or right on the graph.

Front

Back

The graph of the function is shifted 2 units up.

Front

Back

The graph of the function is shifted 2 units left.

Front

Back

The graph of the function is shifted 2 units right.

Front

What is a vertical stretch?

Back

A vertical stretch occurs when a function is multiplied by a factor greater than 1, making the graph taller.

Front

What is a vertical compression?

Back

A vertical compression occurs when a function is multiplied by a factor between 0 and 1, making the graph shorter.

Front

Back

This indicates a vertical stretch by a factor of 2.