Book Maths Puzzle Co-ordinate geometry

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.

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Book Other Question

How do you figure out the length of a side of a right angle when you know the length of the other two sides? I am trying to find the quadratic equation for when y=2 and x= -1.