What means on win32 API to draw a parabola on three given points?

Question

API

I got acquainted with win32 api just the other day and there is no time to deal with it well. Therefore, I want to save it (time) by asking you for advice - you need to write a program where the user clicks on the workspace and a cross appears. And this is how he selects three points and draws a parabola from them.
Advise in which direction to dig, what functions to use. Well, I, of course, will draw the points, but building a correct parabola from them is already a problem.
As I understand it, you need to draw through LineTo one point at a time through a cycle, but here's how to draw the correct curve. After all, it may not be an ideal parabola, but three generally random points.