Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $$g ( x ) = x ^ { 2 } + 2 x + 2$$

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

A)
Vertex $( 1 , - 1 )$
$x$ -int $= ( 0,0 ) , ( 2,0 )$ ;
$\mathrm { y }$ -int $= ( 0,0 )$
B)
Vertex $( - 1 , - 1 )$
$x$ -int $= ( - 2,0 ) , ( 0,0 )$ ;
$\mathrm { y }$ -int $= ( 0,0 )$
C)
Vertex $( - 1,1 )$
no $x$ -intercepts;
$y$ -int $= ( 0,2 )$
D)
Vertex $( 1,1 )$
no $x$ -intercepts;
$y$ -int $= ( 0,2 )$