Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $$p ( x ) = 2 x ^ { 2 } + 4 x + \frac { 13 } { 2 }$$

Find the vertex, the y-intercept, and the x-intercepts (if any exist) , and graph the function.
- $$p ( x ) = 2 x ^ { 2 } + 4 x + \frac { 13 } { 2 }$$

A)
Vertex $( 1,9 )$
no $x$ -int;
$\mathrm { y }$ -int $= ( 0,11 )$
B)
$\operatorname { Vertex } \left( 1 , \frac { 9 } { 2 } \right)$
no $x$ -int;

C)
Vertex $( - 1,9 )$
no $x$ -int;
$y$ -int $= ( 0,11 )$
D)
$\operatorname { Vertex } \left( - 1 , \frac { 9 } { 2 } \right)$
no $x$ -int;
$y$ -int $= \left( 0 , \frac { 13 } { 2 } \right)$