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Find Quadratic Equation From 3 points for Jump

I haven't found anything strait forward and useful anywhere so far, and thorough i should ask here so others can see an answer for this too (Hopefully soon) I am trying to do jumping from joint to point with tight arch control. What I want to do is pick a landing point, and a height, and have the object jump through the arch defined by the current position (A), the target position (B), and (C) the point between A and B with some height. -How do you find the quadratic for 3 points in 3d space? This looks promising but haven't tried it and later in the comments says there is an error in the finder for b and c

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