# Math Insight

### Applet: Graph of a function that parametrizes an ellipse

The green curve is the graph of the vector-valued function $\dllp(t) = (3\cos t, 2\sin t)$. This function parametrizes an ellipse. Its graph, however, is the set of points $(t,3\cos t, 2\sin t)$, which forms a spiral.

Applet file: parametrized_ellipse_graph.m