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Transforming functions with GeoGebra

This can be done with any type of function, but for this post I've chosen a cubic function.
The following activity is intended for students to do on the computer after modeling a few possibilities with the whole class.

http://www.geogebratube.org/student/m86165

Students are given a cubic function f, and asked to find four transformations of f that go through a given point. This is a great activity to help students practice using function notation to describe a transformation, and the use of technology provides them with immediate feedback.

Would you use this activity in your class?

What about adding a third point? This would give students at the lower level more opportunities to practice basic transformations without having to worry about how to reflect over the y-axis and also shift left or right.

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