The path of a diver is given by

y=-4/9 x^2 + 24/9x +12

where y is the height (in feet) and x is the horizontal distance from the end of the diving board (in feet). What is the maximum height of the diver?

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  1. max height occurs when x = -b/2a

    Here, that means max height is where

    x = -(24/9) / (-8/9) = 3

    so, find y(3)

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