Let $f$ be a function having derivatives of all orders for $x > 0$ such that $f ( 3 ) = 2 , f ^ { \prime } ( 3 ) = - 1 , f ^ { \prime \prime } ( 3 ) = 6$, and $f ^ { \prime \prime \prime } ( 3 ) = 12$. Which of the following is the third-degree Taylor polynomial for $f$ about $x = 3$ ?
(A) $2 - x + 6 x ^ { 2 } + 12 x ^ { 3 }$
(B) $2 - x + 3 x ^ { 2 } + 2 x ^ { 3 }$
(C) $2 - ( x - 3 ) + 6 ( x - 3 ) ^ { 2 } + 12 ( x - 3 ) ^ { 3 }$
(D) $2 - ( x - 3 ) + 3 ( x - 3 ) ^ { 2 } + 4 ( x - 3 ) ^ { 3 }$
(E) $2 - ( x - 3 ) + 3 ( x - 3 ) ^ { 2 } + 2 ( x - 3 ) ^ { 3 }$