Find the Vertex of the Graph of the Quadratic Function $f ( x ) = 10 + 7 x + x ^ { 2 }$

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = 10 + 7 x + x ^ { 2 }$

A) Vertex: $\left( \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)$ ;
$x$ -intercepts: $( - 2,0 )$ and $( - 5,0 )$ ;
y-intercept: $( 0,10 )$

B) Vertex: $\left( - \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)$ ;
$x$ -intercepts: $( 2,0 )$ and $( 5,0 )$ ;
y-intercept: $( 0,10 )$

C) Vertex: $\left( \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)$ ;
$x$ -intercepts: $( 2,0 )$ and $( 5,0 )$ ;
$y$ -intercept: $( 0,10 )$

D) Vertex: $\left( - \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)$ ;
$x$ -intercepts: $( - 2,0 )$ and $( - 5,0 )$ ;
$y$ -intercept: $( 0,10 )$