A model rocket is launched at time t=0\displaystyle {t}={0} from the top of a hill with a height of 46 feet. The formula h(t)=−2t2+40t+46\displaystyle {h}{\left({t}\right)}=-{2}{t}^{{2}}+{40}{t}+{46} gives the rocket's height after t\displaystyle {t} seconds. Write an equivalent form of the equation to reveal the maximum height of the rocket.

 h(t)=\displaystyle {h}{\left({t}\right)}=   

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