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1.4 Parametric Equations Greg Kelly, Hanford High School, Richland, Washington.

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Presentation on theme: "1.4 Parametric Equations Greg Kelly, Hanford High School, Richland, Washington."— Presentation transcript:

1 1.4 Parametric Equations Greg Kelly, Hanford High School, Richland, Washington

2 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 ). These are called parametric equations. “t” is the parameter. (It is also the independent variable)

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

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

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

8 Failure is the opportunity to begin again, more intelligently. "
Failure is the opportunity to begin again, more intelligently." Henry Ford "Ganas, all you need is Ganas." [Ganas is Spanish for passion, guts, determination, desire] – Jaime Escalante (math teacher who the move Stand and Deliver is based on) There are some things that you just have to memorize!


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