Convert to vertex form:-
y = (-4/9) (x^2 - 6x) + 12
y = -(4/9) [(x - 3)^2 - 9] + 12
y = (-4/9)(x - 3)^2 + 4 + 12
y = (-4/9)(x - 3)^2 + 16
So maximum height = 16 feet
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