Determine the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + 5 x + \frac { 29 } { 4 }$

Multiple Choice

Determine the vertex of the graph of the quadratic function
$f ( x ) = x ^ { 2 } + 5 x + \frac { 29 } { 4 }$ .

A) $\left( \frac { - 5 } { 2 } , \frac { 27 } { 2 } \right)$

B) $\left( 5 , \frac { 29 } { 4 } \right)$

C) $\left( \frac { 5 } { 2 } , \frac { 29 } { 4 } \right)$

D) $\left( \frac { 5 } { 4 } , \frac { 21 } { 4 } \right)$

E) $\left( \frac { - 5 } { 2 } , 1 \right)$