Answer
Lines of Symmetry: $x=0,y=0$
Domain: $R^2$ (Any real value)
Range: $x=[-\infty,-3]\cup[3,\infty]$ and $y = R$
Work Step by Step
The equation of Major and minor axis are lines of equation
Here, $(x-0)^2/9-(y-0)^2/4=1$ is a Hyperbola
Hence $x=0 , y=0$ are the lines of symmetry
Here any value can be placed in $x,y$, Hence the domain is $R^2$.
By finding solution for $x,y$, we will find the range of $x=[-\infty,-3]\cup[3,\infty]$ and $y = R$.