# Lesson Plan: Combining Function Transformations Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify function transformations that include a combination of translation, dilation, and reflection.

#### Objectives

Students will be able to

• identify the resulting graph of a given graph function after a combination of transformations has been performed (translation, reflection, and dilation),
• sketch the graph of a given basic function after a combination of transformations has been performed (translation, reflection, and dilation),
• understand how to combine transformations (translation, reflection, and dilation) both algebraically and graphically,
• identify a function for which a combination of transformations (translation, reflection, and dilation) is presented graphically,
• understand that combinations of transformations (translation, reflection, and dilation) may be equivalent to each other depending on the symmetry of the given function.

#### Prerequisites

Students should already be familiar with

• function notation,
• function transformations (translation, reflection, and dilation),
• basic functions graphs, including simple linear, quadratic, cubic, radical, and reciprocal graphs.

#### Exclusions

Students will not cover

• rotation transformations.