In this video I go over the definition of parametric equations and how they can be used to graph curves that are not possible with regular y = f(x) functions. Parametric equations involve a third parameter, t, in which both the x and y are functions of t. This makes it possible to graph functions that fail the Vertical Line Test (I will go over this test in more detail in later videos) because at any specific x value there could be multiple y values. The best way to visualize parametric curves is by thinking of a particle that moves through time so at each given time, the particle's x and y coordinates will change based on what time it is. This is a very interesting topic because it allows for graphing some very remarkable curves and shapes. I will go over some cool examples in later videos so stay tuned!
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