Find the Function with the Given Derivative Whose Graph Passes $f ^ { \prime } ( x ) = x - 6 , P ( 3 , - 8 )$

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $f ^ { \prime } ( x ) = x - 6 , P ( 3 , - 8 )$

A) $f ( x ) = x ^ { 2 } - 6 x + 1$
B) $f ( x ) = \frac { x ^ { 2 } } { 2 } - 6 x + \frac { 13 } { 2 }$
C) $f ( x ) = x ^ { 2 } - 6 x$
D) $f ( x ) = \frac { x ^ { 2 } } { 2 } - 6 x + \frac { 11 } { 2 }$