Create an image using transformed functions with restricted domains.

• Students will be able to identify a restricted domain interval and use function translations and dilations to choose and position a portion of the graph accurately in the plane to match a given quadratic graph.
• Students will be able to identify a function and suitable domain interval that will approximate the shape of a given curve in the plane.

• function
• domain
• transformation

This lesson involves creating an image using transformed functions with restricted domains. As a result, students will:

• Graph functions on a TI-Nspire.
• Restrict the domain of a function on the TI-Nspire.
• Transform a variety of functions.
• Restrict the domain to achieve a desired result.