LESSON NOTES MENU
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Trigonometry
Topic: Complex, Parametric, and Polar Forms
Subtopic: Parametric Equations and Graphs

Overview

Ready to learn a whole new way to graph? Instead of graphing functions in the form y=f(x), in this lesson we graph parametric equations. Parametric equations are pairs of equations where the x and the y are given as separate functions of time, i.e., x is a function of t and y is a function of t. Both the x and y are given as in x=x(t), y=y(t). As time changes, the coordinates (x,y) will change producing the graph. Parametric equations are particularly useful in the sciences for representing things that change over time.

You can graph parametric curves manually, but it can be tedious. To graph electronically, check if your grapher can graph parametric equations. If you are using a graphing calculator, go to MODE and look for a graphing option called PARAM or PARAMETRIC. Set it on parametric graphing mode, then go to the area where you enter equations to be graphed. Instead of seeing y1, y2, etc., you should see xt1, yt1, xt2, yt2, etc. Now you are ready to go!

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: parametric point, parametric equation, parameter