Lesson: Function Transformations: Translations Mathematics

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In this lesson, we will learn how to identify function transformations involving horizontal and vertical shifts.

Lesson Plan

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.