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if we plot it we find that the minimum point in y=x^2+18 is (0,18) called a and in y=-x^2+8x-16 the maximum point is (4,0) called b so to find the midpoint (P) where it is reflected we have: [(x of b)-(x of a)]/2 which is 2. [(y of a)-(x of b)]/2 which is 9 We do it this way because the results is 0<x<4 and 0<y<18 being (2,9) the midpoints. 2+9=11