Function Transformations

Front

What is a function transformation?

Back

A function transformation refers to the changes made to the graph of a function, which can include shifts, stretches, compressions, and reflections.

Front

What does a vertical shift of a function do?

Back

A vertical shift moves the graph of the function up or down without changing its shape.

Front

How does a horizontal shift affect a function?

Back

A horizontal shift moves the graph of the function left or right, altering the x-coordinates of the points on the graph.

Front

What is the effect of a positive value added to a function?

Back

Adding a positive value to a function results in a vertical shift upwards.

Front

What is the effect of a negative value subtracted from a function?

Back

Subtracting a negative value from a function results in a vertical shift downwards.

Front

Back

This equation represents a quadratic function that has been shifted horizontally by h units and vertically by k units.

Front

Back

The transformation is a shift left 2 units and down 5 units.

Front

What does a coefficient greater than 1 in front of a function do?

Back

A coefficient greater than 1 vertically stretches the graph of the function.

Front

What does a coefficient between 0 and 1 in front of a function do?

Back

A coefficient between 0 and 1 vertically compresses the graph of the function.

Front

Back

The transformation is a vertical stretch by a factor of 3, a shift right 1 unit, and a shift up 2 units.