Answer
Lines of Symmetry: $x=0, y=0$
Domain: $R^2$ (Any real value)
Range: $x=[-6,6] , y=[-3,3]$
Work Step by Step
The equation of Major and minor axis are lines of equation
Here,$(x-0)^2/36+(y-0)^2/9=1$ is the ellipse.
Hence the lines of symmetry are $x=0,y=0$
Here any value can be placed in $x , y$, Hence the domain is $R^2$
Usually the length of major and minor axis is considered the range
Here, $x$ will lie between $[-6,6]$ and $y$ will lie between $[-3,3]$
