Wolfram Demonstrations Project

How are the graphs of

, and

related to the graph of

? These important ideas from a precalculus course are illustrated using various common functions including

, and

. The graphs of these functions can be translated vertically and horizontally to provide many more examples of

. The reset button puts a previously translated graph back to its original position.

Contributed by: Marc Brodie (Wheeling Jesuit University)

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The Effects of Some Simple Compositions on the Graph of a Function