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

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The Answer of 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) $\left( \frac { - 1 } { 2 } , 1 \right)$

Determine the Vertex of the Graph of the Quadratic Function f(x)=x2+x+54f ( x ) = x ^ { 2 } + x + \frac { 5 } { 4 }f(x)=x2+x+45​

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