[sgnelson]

This is a nice tutorial, but it seems a bit kludgey (and I'm guessing part of that is due to Fusion 360's "not quite a fully finished CAD system," though they are making pretty good progress with it, and I find it's a fairly nice program, especially for the price, (free to hobbyists) and it includes CAM abilities.)

I would think OpenSCAD would be pretty decent at this, but honestly, I've never tried making parabola's or similar with it.

A quick google found this openscad script for parabolas: http://www.thingiverse.com/thing:84564