Parametric Equations and Motion

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Presentation transcript:

Parametric Equations and Motion 6.3 Parametric Equations and Motion

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.

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.

Example Graphing Parametric Equations

Example Graphing Parametric Equations

Example Eliminating the Parameter

Example Eliminating the Parameter

Example Eliminating the Parameter

Example Eliminating the Parameter

Example Eliminating the Parameter

Example Eliminating the Parameter

Example Eliminating the Parameter

Example Finding Parametric Equations for a Line

Example Finding Parametric Equations for a Line