Finding the parametric equations from a certain set of points (software)

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I am a student in High school trying to do a math project which requires parametric curves. So, what I want to do is to draw curves (through plotting points or vector drawing) and find their parametric equations so I can use them for further calculation.

However, I cannot seem to find a software to help me. Does anyone know of any software or technique I can use to get parametric functions by drawing curves?

Thanks for your help.