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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.

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