-16t^2+16t+128

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1 Answer

-16t²+16t+128,

128-16(t²-t),

128-16(t²-t+¼-¼), completing the square,

128-16(t-½)²+4,

132-16(t-½)².

If the given equation gives the height in terms of time t, the maximum height 132 is attained when t=½ because the squared term becomes zero.

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