Stretches' and Compressions

Front

What is a vertical stretch in graph transformations?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What is a vertical compression in graph transformations?

Back

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

Front

What is a horizontal stretch in graph transformations?

Back

A horizontal stretch occurs when the input values of a function are multiplied by a factor between 0 and 1, making the graph wider.

Front

What is a horizontal compression in graph transformations?

Back

A horizontal compression occurs when the input values of a function are multiplied by a factor greater than 1, making the graph narrower.

Front

How does the function f(x) = kx affect the graph of f(x)?

Back

If k > 1, it results in a vertical stretch. If 0 < k < 1, it results in a vertical compression.

Front

How does the function f(x) = f(kx) affect the graph of f(x)?

Back

If k > 1, it results in a horizontal compression. If 0 < k < 1, it results in a horizontal stretch.

Front

What happens to the slope of a line when it undergoes a vertical stretch?

Back

The slope is multiplied by the stretch factor.

Front

What happens to the slope of a line when it undergoes a vertical compression?

Back

The slope is multiplied by a factor less than 1.

Front

What happens to the slope of a line when it undergoes a horizontal stretch?

Back

The slope is divided by the stretch factor.

Front

What happens to the slope of a line when it undergoes a horizontal compression?

Back

The slope is multiplied by the compression factor.