Precalc0105to0107-page40

Precalc0105to0107-page40 - (Section 1.7: Symmetry...

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(Section 1.7: Symmetry Revisited) 1.7.10 PART E: SYMMETRY AND EQUATIONS Consider an equation in x and y and its graph in the usual xy -plane. 1) The graph is symmetric about the y -axis ± Replacing all occurrences of x with ± x () yields an equivalent equation. Special Case : y = fx , where f is an even function. The equations below are then equivalent: y = f ± x ² y = 2) The graph is symmetric about the x -axis ± Replacing all occurrences of y with ± y yields an equivalent equation. 3) The graph is symmetric about the origin ± Replacing x with ± x and y with ± y yields an equivalent equation. Special Case
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This document was uploaded on 12/29/2011.

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