In this set of eActivities we are looking at parametric
equations and how the intervals change the graph. We show how to compute
the time it takes for the baseball to hit the ground and parametric
equations that pass through two points. Play with the equations by changing
the values. Can you predict what the graph will look like?
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1. Parametric Interval
Change the interval and you create another graph.
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2. Elimination
Eliminate the parameter--find the equation. When drawing the
parametric graph, you can use the with-function (|) to choose
the interval to graph.
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3. Circle
Draw the circle using parametric equations. Change the interval
and just that part of the circle will be graphed.
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4. Line OA-OP=t(OB-OA)
Find the parametric equations that pass through two points.
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5. Line OP=OA+tAB
Another look at finding the parametric equations that pass
through two points.
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6. Throwing a Baseball
Want to find out when the baseball will hit the ground?
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7. Cycloid
Draw the basic Cycloid curve and then try your own!
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8. Lissajou Curve
Lissajou Curve can also be written using parametric equations.
Adjust the equation and enjoy the graphs.
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