Find the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + 4 x - 7$

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = x ^ { 2 } + 4 x - 7$

A) Vertex: $( - 2,3 )$ ;
$\mathrm { x }$ -intercepts: none;
$y$ -intercept: $( 0,7 )$

B) Vertex: $( 4,0 )$ ;
x-intercept: $( 4,0 )$ ;
$y$ -intercept: $( 0,7 )$

C) Vertex: $( - 2 , - 11 )$ ;
$x$ -intercepts: $( - 2 \pm \sqrt { 11 } , 0 )$ ;
$y$ -intercept: $( 0 , - 7 )$

D) Vertex: $\left( - \frac { 1 } { 2 } , - 12 \frac { 1 } { 4 } \right)$ ;
x-intercepts: $( - 4,0 )$ and (3,0) ;
$y$ -intercept: $( 0 , - 12 )$