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Unformatted text preview: ph that is symmetric about the origin. © 2007 Paul Dawkins 233 http://tutorial.math.lamar.edu/terms.aspx College Algebra Note that most graphs don’t have any kind of symmetry. Also, it is possible for a graph to have more than one kind of symmetry. For example the graph of a circle centered at the origin exhibits all three symmetries. Tests for Symmetry We’ve some fairly simply tests for each of the different types of symmetry. 1. A graph will have symmetry about the x-axis if we get an equivalent equation when all the y’s are replaced with –y. 2. A graph will have symmetry about the y-axis if we get an equivalent equation when all the x’s are replaced with –x. 3. A graph will have symmetry about the origin if we get an equivalent equation when all the y’s are replaced with –y and all the x’s are replaced with –x. We will define just what we mean by an “equivalent equation” when we reach an example of that. For the majority of the examples that we’re liable to...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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