Calc01_4 - 1.4 Parametric Equations Greg Kelly Hanford High School Richland Washington There are times when we need to describe motion(or a curve that

Calc01_4 - 1.4 Parametric Equations Greg Kelly Hanford High...

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1.4 Parametric Equations Greg Kelly, Hanford High School, Richland, Washington
There are times when we need to describe motion (or a curve) that is not a function. We can do this by writing equations for the x and y coordinates in terms of a third variable (usually t or ). θ ( 29 x f t = ( 29 y g t = These are called parametric equations. t ” is the parameter. (It is also the independent variable)
Example 1: 0 x t y t t = = To graph on the TI-89: MODE Graph……. 2 ENTER PARAMETRIC Y= ( 29 xt1 t = yt1 t = 2nd T ) ENTER WINDOW GRAPH
Hit zoom square to see the correct, undistorted curve. We can confirm this algebraically: x t y t = = x y = 2 x y = 0 x 2 y x = 0 x parabolic function

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