I'm attempting to find the equation for a parabola in 3-space. I have several points on the curve (I can get more if necessary): (x1, y1, z1) (x2, y2, z2) (x3, y3, z3) (x4, y4, z4) and I have the vertex (x0, y0, z0).
I've seen some (not much) information about defining it with parametric equations, but I'd really like to have it as a Cartesian equation if at all possible.
How would I go about taking this information and converting it into an equation? I've tried converting it into a plane, and while successful, it didn't really accomplish my goal.
If there's other information I need to do this, let me know. There are other properties I can probably get.
Thank you in advance for your help!
Sub