Precalc0105to0107-page41

Precalc0105to0107-page41 - is on the graph. 3) Symmetry...

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(Section 1.7: Symmetry Revisited) 1.7.11 Example 10 (Identifying Graphical Symmetries from an Equation) The graph of x 2 + y 2 = 9 exhibits all four aforementioned symmetries. 1) Symmetry about the y -axis ± x () 2 + y 2 = 9 ² x 2 + y 2 = 9 x , y () is on the graph ± ± x , y () is on the graph. 2) Symmetry about the x -axis x 2 + ± y () 2 = 9 ² x 2 + y 2 = 9 x , y () is on the graph ± x , ± y ()
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Unformatted text preview: is on the graph. 3) Symmetry about the origin ± x ( ) 2 + ± y ( ) 2 = 9 ² x 2 + y 2 = 9 x , y ( ) is on the graph ± ± x , ± y ( ) is on the graph. 4) Symmetry about the line y = x y 2 + x 2 = 9 ± x 2 + y 2 = 9 x , y ( ) is on the graph ± y , x ( ) is on the graph. §...
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This document was uploaded on 12/29/2011.

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