Curve drawing, not Bezier

Question

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

Answer 1

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.