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Transformations

The ability to generalize is a crucial component of mathematics.  The transformation of functions is just such a generalization.  Beginning with the specific knowledge of special toolkit or elementary functions, we can expand to include many related functions.

For information in the text: Precalculus, Functions and Graphs 5th ed. by Barnett, Ziegler, and Byleen, look in section 2.5 beginning on page 170.

The following expand the information in the text, give animated examples, and give some exercises. 

Contents.

  1. Tool Kit Functions
  2. Animations Illustrating Transformations.
  3. Transformations Algebraically.
  4. How to Graph a Function Using Transformations.
  5. Example: Graphing a Square Root.
  6. Handout on Identifying Transformations. [Word 71kb; pdf 72kb]
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  last modified September 05, 2007