1. Parametric Equations and Motion
6.3
Parametric Equations and Motion

2. What you’ll learn about
Parametric Equations
Parametric Curves
Eliminating the Parameter
Lines and Line Segments
Simulating Motion with a Grapher
… and why
These topics can be used to model the path of an object
such as a baseball or golf ball.

3. Parametric Curve, Parametric Equations
The graph of the ordered pairs (x,y) where
x = f(t) and y = g(t)
are functions defined on an interval I of t-values is a parametric curve. The equations are parametric equations for the curve, the variable t is a parameter, and I is the parameter interval.

4. Example Graphing Parametric Equations

5. Example Graphing Parametric Equations

6. Example Eliminating the Parameter

7. Example Eliminating the Parameter

8. Example Eliminating the Parameter

9. Example Eliminating the Parameter

10. Example Eliminating the Parameter

11. Example Eliminating the Parameter

12. Example Eliminating the Parameter

13. Example Finding Parametric Equations for a Line

14. Example Finding Parametric Equations for a Line