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

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.
- $f ( x ) = 10 + 7 x + x ^ { 2 }$

A)

vertex: $\left( - \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)$
$\mathrm { x }$ -intercepts: $( 2,0 )$ and $( 5,0 )$
axis of symmetry: $x = - \frac { 7 } { 2 }$
B)

vertex: $\left( \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)$
$x$ -intercepts: $( 2,0 )$ and $( 5,0 )$
axis of symmetry: $x = \frac { 7 } { 2 }$
C)

vertex: $\left( \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)$
x-intercepts: $( - 2,0 )$ and $( - 5,0 )$
axis of symmetry: $x = \frac { 7 } { 2 }$
D)

vertex: $\left( - \frac { 7 } { 2 } , - \frac { 9 } { 4 } \right)$
$x$ -intercepts: $( - 2,0 )$ and $( - 5,0 )$
axis of symmetry: $x = - \frac { 7 } { 2 }$