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6.1.2 Another parametric example (not a line)

Consider the following set of parametric equations. The title of this activity implies these parametric equations will not define a line segment, but you can verify that by finding three points and showing the change in over the change in is not constant.

Even though these parametric equations don't end up describing a line segment, they do still trace out the graph of some function. Eliminate the parameter to find this function. What is the domain of this function?

Use your work to try to sketch the image of these parametric equations. Then check your work with the GeoGebra applet below. What do the arrow heads represent?