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Plane Curves Parametric Equations
142 Notes – Section 8.6 Plane Curves, Parametric
Equations.
1. Algebra Review: Completing the Square
![](./articles_imgs/3344/plane_28.jpg)
2. Graphing a Parabola with vertex at (h ,k ).
![](./articles_imgs/3344/plane_29.jpg)
![](./articles_imgs/3344/plane_30.jpg)
3. Graphing an Ellipse with center at (h ,k ).
![](./articles_imgs/3344/plane_31.jpg)
![](./articles_imgs/3344/plane_32.jpg)
4. Graphing a Hyperbola with center at (0 ,0 ).
Ex) Graph: 4 x2 -y2 =4
![](./articles_imgs/3344/plane_35.jpg)
5. Plane Curves.
Plane Curve:
Parametric Equations:
Ex) Graph the plane curve, C, where = 1−2t , y= 1+ t, on
the
interval [−1,4].
![](./articles_imgs/3344/plane_36.jpg) ![](./articles_imgs/3344/plane_37.jpg)
Ex) Find an equivalent rectangular equation for the plane
curve above.
Describe Orientation:
Ex) Find equivalent rectangular equation, sketch C,
indicate orientation.
![](./articles_imgs/3344/plane_38.jpg)
Ex) Find equivalent rectangular equation, sketch C,
indicate orientation.
![](./articles_imgs/3344/plane_39.jpg)
Ex) Find equivalent rectangular equation, sketch C, indicate orientation.
![](./articles_imgs/3344/plane_40.jpg)
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