Thread: Sketching the parametric curve

1. Sketching the parametric curve

We have x(t)=1/3*t^3-5t and y(t)=t^2-2t

We need to sketch this curve and identify where the curve crosses the x-axis and where it crosses the y-axis.

I know how to graph x(t) and y(t), but how do you graph the actual curve?

2. Pick a few values of $t$, say $t_0,...,t_n$ and draw the points $(x(t_0),y(t_0)),...,(x(t_n),y(t_n))$. When you have enough points that the shape of the curve is pretty clear then you can plot an approximation.