
Plane Curves Parametric Equations
142 Notes – Section 8.6 Plane Curves, Parametric
Equations.
1. Algebra Review: Completing the Square
2. Graphing a Parabola with vertex at (h ,k ).
3. Graphing an Ellipse with center at (h ,k ).
4. Graphing a Hyperbola with center at (0 ,0 ).
Ex) Graph: 4 x^{2} y^{2} =4
5. Plane Curves.
Plane Curve:
Parametric Equations:
Ex) Graph the plane curve, C, where = 1−2t , y= 1+ t, on
the
interval [−1,4].
Ex) Find an equivalent rectangular equation for the plane
curve above.
Describe Orientation:
Ex) Find equivalent rectangular equation, sketch C,
indicate orientation.
Ex) Find equivalent rectangular equation, sketch C,
indicate orientation.
Ex) Find equivalent rectangular equation, sketch C, indicate orientation.
