Translation and Compressions Applet

This applet is designed to develop intuition about translation, expansions and contractions of functions.  In particular it graphs a function named Func, and a second function ShiftedFunc defined by

ShiftedFunc(x)=c*Func(a*x+b))+d.

The values of a, b, c, and d are controlled by sliders.  The definition of Func(x) and the view window can be changed with the control panel.
 

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and activated. (click here to install Java now)
   
Min X = Max X = Min Y = Max Y =

It is worthwhile to note the transformation caused by changing the prameters one at a time:

It is also wothwhile to note functions that show off transformations clearly:

Created with GeoGebra. GeoGebra is a GNUed software package for mathematics visualization. The home for the applications is  http://www.geogebra.org.

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Last updated By Mike May, S.J., September 23, 2007.