Find the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + x + 5$

Multiple Choice

Find the vertex of the graph of the quadratic function.
- $f ( x ) = x ^ { 2 } + x + 5$

A) $( - 1,5 )$
B) $\left( - \frac { 1 } { 2 } , \frac { 19 } { 4 } \right)$
C) $\left( \frac { 1 } { 2 } , \frac { 23 } { 4 } \right)$
D) $( 1,7 )$