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5:37
Study.com
Graphs of Parametric Equations
In mathematics, parametric equations include independent variables, known as parameters, and dependent variables that are functions of the parameters. Learn about parametric equations and how to graph them. Explore the process for eliminating the parameter and practice preparing a graph.
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Parametric functions describe curves by giving each coordinate as its own function of an independent parameter, usually called t. Instead of expressing one variable directly in terms of another, you define x(t) and y(t), and let the parameter move through a range of values to trace out the curve. This method is especially useful for representing shapes that standard functions cannot capture, such as loops, vertical segments, or paths that cross themselves. It also aligns naturally with how we th
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