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How do I do number 77? Explanation and answer please !:)

How do I do number 77? Explanation and answer please !:)-example-1

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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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