Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to additive scaling of the original function, reflections and stretching due to multiplicative scaling, and horizontal shifts due to a linear change of variables are explored. 

Additional Tags

transforming functions, transforming graphs, vertical and horizontal shifts, vertical and horizontal translation, reflections and rotations, math

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Pros

• Includes very detailed description of the solution
• Helpful commentary for the teacher

Cons

• None

Common Core

HSF-BF.B.3 MP7 MP8