By grossly distorting the values for origin, destination, and control points, it's possible to create curves that approximate parabolas, arcs, and even loops. (Remember when you're programming that you don't have to limit your control points to valid stage locations!)
By stringing two or more Bézier curves together, evaluating each from 0 to 1 in sequence, a multitude of shapes can be drawn (after all, if you can draw the shape in an illustration program, you're drawing it with Béziers).
Take some time to experiment with our Shockwave Bézier demo (requires Shockwave for Director 5). Put Béziers to work for you today!