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I have been tasked with creating a C++ program (with GDI+ for graphics) that takes a set of user defined points and creates polynomial curve through them. For extra credit, I have to support a parametric polynomial for any number of points. The thing is.. he didn't explain what a parametric polynomial is! So I need some help understanding how to figure one out based on a set of points.. in layman's terms, please. I've taken Calc 1, so I'm not that up-to-par on my calculus skills, just so you know what level I'm at.

Any help would be appreciated.

Thanks!

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    Do the points represent an arbitrary curve, or a function? I.e., would a curve drawn through your points satisfy a *vertical-line test*?2010-10-04
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    Here's the situation: The user is presented with a screen of arbitrary height and width. The user can place as many points on the screen as he wishes. There is an option to draw a line from point to point to point.. and an option to draw a polynomial through all of the points.2010-10-04

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