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Math·Advanced Math·Nonlinear functions

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An object is launched from a height of $124\text{ feet}$ above the ground. A quadratic function $f$ models the height above the ground, in feet, of the object $t$ seconds after it is launched. According to the model, $3$ seconds after the object is launched, it reaches a maximum height of $268\text{ feet}$ above the ground. Which equation defines $f$?

A

(f(t) = -16(t + 268)^2 - 3)

B

(f(t) = -16(t - 268)^2 + 3)

C

(f(t) = -16(t + 3)^2 - 268)

D

(f(t) = -16(t - 3)^2 + 268)