An Object Moving Vertically Is at the Given Heights at the Specified

Multiple Choice

An object moving vertically is at the given heights at the specified times. Find the position equation $s = \frac { 1 } { 2 } a t ^ { 2 } + v _ { o } t + s _ { o }$ for the object.
At $t = 1$ second, $s = 273$ feet
At $t = 2$ seconds, $s = 241$ feet
At $t = 3$ seconds, $s = 177$ feet

A) $s = - 32 t ^ { 2 } + 16 t + 273$
B) $s = - 16 t ^ { 2 } + 16 t - 273$
C) $s = - 16 t ^ { 2 } + 16 t + 273$
D) $s = - 8 t ^ { 2 } + t - 273$
E) $s = - 16 t ^ { 2 } - 16 t + 273$