Lesson: Function Transformations: Translations Mathematics • Second Year of Secondary School

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.