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1.4 Parametric Equations

Learn how to graph parametric equations using the TI-89 calculator and understand the concept of parametric equations.

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1.4 Parametric Equations

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  1. Photo by Greg Kelly, 2005 Greg Kelly, Hanford High School, Richland, Washington 1.4 Parametric Equations Mt. Washington Cog Railway, NH

  2. We can do this by writing equations for the x and y coordinates in terms of a third variable (usually t or ). There are times when we need to describe motion (or a curve) that is not a function. These are called parametric equations. “t” is the parameter. (It is also the independent variable)

  3. WINDOW GRAPH To graph on the TI-89: ENTER ENTER Y= Example 1: MODE Graph……. 2 PARAMETRIC 2nd T )

  4. Hit zoom square to see the correct, undistorted curve. We can confirm this algebraically: parabolic function

  5. Circle: If we let t = the angle, then: Since: We could identify the parametric equations as a circle.

  6. WINDOW GRAPH Y= Graph on your calculator: Use a [-4,4] x [-2,2] window.

  7. Ellipse: This is the equation of an ellipse. p

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