Parametric Equations

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      Suppose one would have an equation y = f(x), and the explicit functional form contains an arbitrary constant called a parameter, then it is called a parametric equation. A function with a parameter represents not one but a family of curves.



Often the equation for a curve is given as two functions of a parameter t, for instance:

X=x(t) and Y=y(t) Corresponding values of x and y are calculated by solving for t and substituting.