Graph the Function $f ( x ) = 3 x ^ { 2 } - 12 x + 8$

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.
- $f ( x ) = 3 x ^ { 2 } - 12 x + 8$

A)

vertex: $( - 4,2 )$
$\mathrm { x }$ -intercepts: none
axis of symmetry: $x = - 4$
B)

vertex: $( - 2 , - 4 )$
$x$ -intercepts: $\left( - \frac { 6 \pm 2 \sqrt { 3 } } { 3 } , 0 \right)$
axis of symmetry: $x = - 2$
C)

vertex: $( 2 , - 4 )$
$x$ -intercepts: $\left( \frac { 6 \pm 2 \sqrt { 3 } } { 3 } , 0 \right)$
axis of symmetry: $x = 2$
D)

vertex: $( - 3 , - 2 )$
$x$ -intercepts: $( - 3 \pm 2 \sqrt { 2 } )$
axis of symmetry: $x = - 3$