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As a kid I would draw curves like the red line below, hopefully it is reasonably clear how I have constructed that.
I understand that the green line is the quadratic Bezier curve, what is the red line called?

Curves

Itch
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    This should probably be on http://math.stackexchange.com/. As it stands, it has nothing to do with programming. – Beska Jun 07 '16 at 12:48

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The red curve in your picture is a parabola (which still can be represented as a quadratic Bezier curve). See this link for more details.

fang
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