This means that it is equivalent to the original

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Unformatted text preview: ms.aspx College Algebra Symmetry In this section we are going to take a look at something that we used back when we where graphing parabolas. However, we’re going to take a more general view of it this section. Many graphs have symmetry to them. Symmetry can be useful in graphing an equation since it says that if we know one portion of the graph then we will also know the remaining (and symmetric) portion of the graph as well. We used this fact when we were graphing parabolas to get an extra point of some of the graphs. In this section we want to look at three types of symmetry. 1. A graph is said to be symmetric about the x-axis if whenever ( a, b ) is on the graph then so is ( a, -b ) . Here is a sketch of a graph that is symmetric about the x-axis. 2. A graph is said to be symmetric about the y-axis if whenever ( a, b ) is on the graph then so is ( - a, b ) . Here is a sketch of a graph that is symmetric about the y-axis. 3. A graph is said to be symmetric about the origin if whenever ( a, b ) is on the graph then so is ( - a, -b ) . Here is a sketch of a gra...
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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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