Identify the Vertex, Axis of Symmetry, and Intercepts for the Graph

Multiple Choice

Identify the vertex, axis of symmetry, and intercepts for the graph of the function.
- $$g ( x ) = - x ^ { 2 } + 6 x - 11$$

A) Vertex at $( - 3 , - 38 )$ ; axis: $x = - 3 ; x$ -intercepts: $( 3 - \sqrt { 2 } , 0 )$ and $( 3 + \sqrt { 2 } , 0 ) ; y$ -intercept: $( 0 , - 11 )$
B) Vertex at $( - 3 , - 38 )$ ; axis: $y = - 38 ; x$ -intercepts: none; $y$ -intercept: $( 0,11 )$
C) Vertex at $( 3 , - 2 )$ ; axis: $y = - 2 ; x$ -intercepts: $( 3 - \sqrt { 2 } , 0 )$ and $( 3 + \sqrt { 2 } , 0 ) ; y$ -intercept: $( 0,11 )$
D) Vertex at $( 3 , - 2 )$ ; axis: $x = 3 ; x$ -intercepts: none; $y$ -intercept: $( 0 , - 11 )$