Find the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + 3 x + 2$

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = x ^ { 2 } + 3 x + 2$

A) Vertex: $\left( \frac { 3 } { 2 } , - \frac { 1 } { 4 } \right)$ ;
$x$ -intercepts: $( 1,0 )$ and $( 2,0 )$ ;
y-intercept: $( 0,2 )$


B) Vertex: $\left( - \frac { 3 } { 2 } , - \frac { 1 } { 4 } \right)$ ;
$x$ -intercepts: $( - 1,0 )$ and $( - 2,0 )$ ;
y-intercept: $( 0,2 )$


C) Vertex: $\left( \frac { 3 } { 2 } , - \frac { 1 } { 4 } \right)$
$x$ -intercepts: $( - 1,0 )$ and $( - 2,0 )$ ;
y-intercept: $( 0,2 )$


D) Vertex: $\left( - \frac { 3 } { 2 } , - \frac { 1 } { 4 } \right)$ ;
$x$ -intercepts: $( 1,0 )$ and $( 2,0 )$ ;
y-intercept: $( 0,2 )$