Book Maths Puzzle Algebra

I am trying to find the quadratic equation for when y=2 and x= -1.

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Re: quadratic with y=2 and x= -1, the parabolic graph is reversed, ie. vertex is at (-1, 2). It also appears that when x=1, y=0 and when x= -3, y=0. If the curve for a rectangular hyperbola is rotated through 45 degrees. What would the sketch of the curve look like as