Quadratic Bezier Curves

Quadratic Bézier curves are explicit parametric functions of the following form: $$ x(t) = (1-t)^2 x_0 + 2t(1-t) x_1 + t^2 x_2\\ y(t) = (1-t)^2 y_0 + 2t(1-t) y_1 + t^2 y_2\\ t \in \mathbb R[0,1] $$ These curves are perhaps the simplest class of parametric curves, but useful in their own right. This is a small demo of such curves. Drag the control points around to see the curve change.