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Tool: Translation of Functions
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Go to: http://www.keypress.com/.../TranslationOfFunctions.zip (opens a new window)
Description:

Students create both geometric and algebraic translations of a function, match the two translations, and use the components of the geometric vector to write an equation for translated image. The link to the tool itself is to a zip file that contains both the sketch and a pdf file of the corresponding activity.

This is a free sample activity from Exploring Precalculus with the Geometer's Sketchpad.

Technology Type: Sketchpad 
Authors: Key Curriculum Press/Daniel Scher
Scott Steketee
Paul Kunkel
Irina Lyublinskaya
Language: English 
Cost: Does not require payment for use

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Activities: Exploring Precalculus with The Geometer's Sketchpad
Translation of Functions
Courses: Algebra II Horizontal shift, Vertical shift
Trigonometry Transforming Graphs
PreCalculus graphs and parameters of these functions