Lesson Plan: Function Transformations: Dilation | Nagwa Lesson Plan: Function Transformations: Dilation | Nagwa

# Lesson Plan: Function Transformations: Dilation Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify function transformations involving horizontal and vertical stretches or compressions.

#### Objectives

Students will be able to

• understand horizontal dilations of the function :
• corresponds to a horizontal dilation of scale factor ,
• when , the result is considered a stretch,
• when , the result is considered a compression,
• understand vertical dilations of the function :
• corresponds to a vertical dilation of scale factor ,
• when , the result is considered a stretch,
• when , the result is considered a compression,
• identify the resulting graph of a given graph when dilated horizontally or vertically,
• sketch the graph of a given basic function when dilated horizontally or vertically,
• understand how to combine a horizontal and a vertical dilation algebraically,
• identify the rule of a function for which a horizontal or a vertical dilation is represented graphically,
• understand that certain horizontal dilations may be equivalent to vertical dilations depending on the symmetry of the given function.

#### Prerequisites

Students should already be familiar with

• function notation,
• basic function graphs, including simple linear, quadratic, cubic, radical, and reciprocal graphs.

#### Exclusions

Students will not cover

• function transformations involving translation and reflection.