Transformations of Functions

Front

What is a vertical stretch of 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 it mean to shift a function up or down?

Back

Shifting a function up means adding a positive constant to the function, while shifting it down means subtracting a constant.

Front

How do you represent a vertical shrink of a function?

Back

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

Front

Back

It represents a vertical shift of the function 3 units up.

Front

Back

It represents a horizontal shift of the function 4 units to the right.

Front

Back

It indicates a reflection of the function across the y-axis.

Front

Back

It indicates a vertical shift of the function 4 units down.

Front

Back

It represents a horizontal shift of the function 4 units to the left.

Front

What does a reflection across the x-axis do to a function?

Back

It flips the graph of the function over the x-axis, changing the sign of the output values.

Front

Back

The factor of 5 indicates a vertical stretch by a factor of 5.