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Math·Advanced Math·Nonlinear functions

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An object is launched into the air from ground level. According to a quadratic model, $3.8$ seconds after the object is launched, it reaches its maximum height of $231.04$ feet above ground level. Which equation represents this model, where $f(t)$ is the object’s height, in feet, above ground level $t$ seconds after it was launched?

A

$f(t)=-16(t-3.8{)}^2+231.04$

B

$f(t)=16(t+3.8{)}^2+231.04$

C

$f(t)=-16(t+3.8{)}^2+231.04$

D

$f(t)=16(t-3.8{)}^2+231.04$