Determine the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + x + \frac { 5 } { 4 }$

Multiple Choice

Determine the vertex of the graph of the quadratic function $f ( x ) = x ^ { 2 } + x + \frac { 5 } { 4 }$ .

A) $\left( \frac { - 1 } { 2 } , \frac { 3 } { 2 } \right)$
B) $\left( 1 , \frac { 5 } { 4 } \right)$
C) $\left( \frac { 1 } { 2 } , \frac { 5 } { 4 } \right)$
D) $\left( \frac { 1 } { 4 } , - \frac { 3 } { 4 } \right)$
E) $\left( \frac { - 1 } { 2 } , 1 \right)$