Answer
Vertex: $(0,5)$
Axis of Symmetry: $x=0$
Work Step by Step
$Y = -1.5x^{2} + 5$
Use $\frac{-b}{2a}$ to find the x coordinate
$\frac{-0}{2*-1.5} = 0$
X coordinate = 0
Then plug the x coordinate in to find the y coordinate
$Y = -1.5*0^{2} + 5 = 5$
Y coordinate = 5
Vertex = (0,5)
Axis of Symmetry is equal to the x coordinate
Axis of Symmetry is X = 0