Parametric Curves: Example 1: Parabola

In this video I go over an example graphing parametric equations x = t^2 - 2t and y = t + 1. Plotting several points from these equations shows a shape that looks like a parabola, but we can in fact confirm this is actually this case. If we eliminate the t variable from both x and y functions we do in fact get a parabola that opens up horizontally.

Also in this video I show that sometimes we restrict the t variable to be within a given interval, in which the resulting curve has a initial point, (f(a), g(a)), and a terminal point, (f(b), g(b)). Overall this is a very interesting and useful video to show how common functions such as the parabola can be written in parametric equation form; so make sure to watch this video!

Download the notes in my video:

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I don't always graph parametric curves but when I do I usually first start by graphing a parabola ;)


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