Answer
Vertex = $(0,-6)$
Axis of Symmetry is $x=0$
Work Step by Step
$Y = -3x^{2} - 6$
Use $\frac{-b}{2a}$ to find x coordinate
$\frac{-0}{2a} = 0$
X coordinate = 0
Plug in the x coordinate to get the y coordinate
$Y = -3*0^{2} - 6 = 0$
Y coordinate = 0
Axis of Symmetry is equal to x coordinate
Axis of Symmetry is x = 0