Given is

f(x) = - x^2 + 2x + 2

Maximum horizontal distance, where if mapped onto a graph, y-coordinate is 0.

- x^2 + 2x + 2 = 0

x^2 - 2x - 2 = 0

(x - 1)^2 - 2 - (-1)^2 = 0

(x - 1)^2 - 3 = 0

(x - 1)^2 = 3

x - 1 = ±√3

x = 1 ±√3

Maximum horizontal distance is: 1 + √3 = 2.732050808 = 2.73 meters

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