# Launching from a Cut Parabola

You're building a ski jump for the upcoming Winter Olympics and it's been decided that the hill and ramp will be formed from the shape of a parabola, so that at any $$x,$$ the height is given by $$h(x) = x^2.$$

If the skiers are to start from $$x = -1,$$ where should the end of the ramp be placed so as to maximize the distance $$d$$ from the origin to the skier's landing point?