Parametric equations of a curve express the coordinates of the points of the curve as functions of a variable, called a parameter. When given a problem, there are x and y variables and also a parameter t. In order to eliminate the parameter, we have to use elimination or substitution the do so. If the equations involves trig, we would have to use the trig identities to help eliminating the parameter. If we want to graph a parametric equation, we first draw a number box of x, y, and t. The problems are given a limit of the parameter t, we pick numbers between the limit and we get the values of x and y from equations given. Last, we plot the points. We have to remember to mark the starting point and the direction of the graph. And we connect the points.
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