Find the Vertex and Axis of Symmetry of the Graph $$f ( x ) = x ^ { 2 } + 3 x + 6$$

Multiple Choice

Find the vertex and axis of symmetry of the graph of the function.
- $$f ( x ) = x ^ { 2 } + 3 x + 6$$

A) $\left( \frac { 3 } { 2 } , \frac { 51 } { 4 } \right) ; x = \frac { 3 } { 2 }$
B) $( - 1,6 ) ; x = - 1$
C) $( 3,24 ) ; x = 3$
D) $\left( - \frac { 3 } { 2 } , \frac { 15 } { 4 } \right) ; x = - \frac { 3 } { 2 }$