Horizontal Compression and Stretch

Front

What is horizontal compression in a function?

Back

Horizontal compression occurs when the input values of a function are multiplied by a factor greater than 1, causing the graph to 'squeeze' towards the y-axis.

Front

What is horizontal stretch in a function?

Back

Horizontal stretch occurs when the input values of a function are multiplied by a factor between 0 and 1, causing the graph to 'spread out' away from the y-axis.

Front

How does a negative sign in front of a function affect its graph?

Back

A negative sign reflects the graph over the x-axis.

Front

What does a vertical stretch mean in a function?

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 does a vertical compression mean in a function?

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 the effect of a horizontal shift to the right in a function?

Back

A horizontal shift to the right occurs when a constant is added to the input of the function, moving the graph to the right.

Front

What is the effect of a horizontal shift to the left in a function?

Back

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

Front

What is the effect of a vertical shift upwards in a function?

Back

A vertical shift upwards occurs when a constant is added to the output of the function, moving the graph up.

Front

What is the effect of a vertical shift downwards in a function?

Back

A vertical shift downwards occurs when a constant is subtracted from the output of the function, moving the graph down.

Front

How do you represent a horizontal compression by a factor of 3 in a function?

Back

To represent a horizontal compression by a factor of 3, you replace x with 3x in the function, e.g., f(x) becomes f(3x).