Lesson Plan: Function Transformations: Translations | Nagwa Lesson Plan: Function Transformations: Translations | Nagwa

# Lesson Plan: Function Transformations: Translations Mathematics

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

#### Objectives

Students will be able to

• understand horizontal translations of the function :
• corresponds to a shift of units in the positive direction,
• corresponds to a shift of units in the negative direction,
• understand vertical translations of the function :
• corresponds to a shift of units in the positive direction,
• corresponds to a shift of units in the negative direction,
• identify the resulting graph of a given graph when translated in the -direction or -direction,
• sketch the graph of a given basic function when translated in the -direction or -direction,
• understand how to combine a translation in the -direction and -direction both algebraically and graphically,
• identify the rule of a function for which a translation in the -direction and/or -direction is represented graphically.

#### Prerequisites

Students should already be familiar with

• function notations,
• basic functions graphs (including simple linear, quadratic, cubic, radical, and reciprocal function graphs).

#### Exclusions

Students will not cover

• function transformations involving dilation and reflection.