bezier.js

var Point = function(x, y)
{
	this.x = Number(x);
	this.y = Number(y);

	this.toString = function()
	{
		return "(" + this.x + ", " + this.y + ")"
	}
}

Point.multiply = (p, n) => new Point(p.x * n, p.y * n);
Point.add = (p1, p2) =>	new Point(p1.x + p2.x, p1.y + p2.y);

function bezier(t, P0, P1, P2)
{

	return Point.add(Point.add(Point.multiply(P0, Math.pow((1-t), 2)), Point.multiply(Point.multiply(P1, t), 2*(1-t))), Point.multiply(P2, Math.pow(t, 2)));
}