Parametric Equations

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Revision as of 09:51, 27 May 2009 by Bjohn1 (talk | contribs) (New page: ==Parametrized Curves== We often graph functions by letting one coordinate be dependent on another. For example, graphing the function <math> f(x) = y = x^2 </math> has y values that we t...)
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Parametrized Curves

We often graph functions by letting one coordinate be dependent on another. For example, graphing the function  f(x) = y = x^2 has y values that we trace out dependent upon x values. However, it is very useful to graph functions by letting each coordinate be equal to an equation of an independent variable, known as a parameter. Changing the value of the parameter can change value of any coordinate being used. We generally choose a range of values that the parameter can take on, and the values that our function takes on as the parameter varies traces out a curve, known as a parametrized curve.