Graphs and Effects of Parameter Changes - Research Article from Macmillan Science Library: Mathematics

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Graphs and Effects of Parameter Changes

The two-dimensional Cartesian coordinate system may be used to graph a variety of equations in the form of straight and curved lines. One way to graph an equation is to determine a number of different values for the variables and plot them on the graph. It can be helpful, however, to understand how a change in the parameters of an equation affects the resulting line.

Graphs of Straight Lines

The graph of the simple equation y = 1x, or y = x, is graphed in (a) below. The line passes through every coordinate point where x = y, such as (2, 2) or (–3, –3).

Notice what happens to the graph of the equation when the parameters of the equation are changed by using a different coefficient for x, such as y = 3x. As part (a) shows, the new line has a steeper...

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This section contains 1,054 words
(approx. 4 pages at 300 words per page)
Buy the Graphs and Effects of Parameter Changes Encyclopedia Article
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Graphs and Effects of Parameter Changes from Macmillan. Copyright © 2001-2006 by Macmillan Reference USA, an imprint of the Gale Group. All rights reserved.
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