# Parametric Equations

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Videos, worksheets, games and activities to help PreCalculus students learn about parametric equations.

What are parametric equations?
We can describe our plane curves in terms of x, for eg. y = f(x),
or in terms of y for eg. x = f(y).
Sometimes, it is useful to have a third variable or parameter. This parameter is usually t. When both x and y are defined as a function of t, we have parametric equations.
x = f(t) and y = g(t).
The graph of parametric equations make a plane curve.

Introduction to parametric equations
This video defines a parametric equations and shows how to graph a parametric equation by hand.
Parametric Equations 1
Introduction to parametric equations

Parametric Equations 2
Eliminating the parameter
Parametric Equations 3
Removing the parameter from a more interesting example

Parametric Equations 4
Parametric Equations that "move" along the same path

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.