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?

Enter your answer to three decimal places.

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