Transformations of Functions

Front

What is a vertical shift in function transformations?

Back

Front

Back

The graph of the function is shifted 3 units up.

Front

What is a horizontal shift in function transformations?

Back

Front

Back

The graph of the function is shifted 5 units right and 2 units up.

Front

What does a vertical stretch by a factor of k do to a function?

Back

Front

Back

The graph of the function is vertically stretched by a factor of 4, making it narrower.

Front

What does a vertical compression by a factor of k do to a function?

Back

Front

Back

The graph of the function is shifted 4 units left and 6 units down.

Front

Back

A negative sign reflects the graph of the function across the x-axis.

Front

Back

This transformation shifts the graph of f(x) 5 units to the right and 2 units up.