a) From the graph, we need to find the intercepts.
When x=0 we get y=0
Hence, the y-intercept is (0,0).
When y=0, we get x= -3, and x=3
Hence, the y-intercept is (-3,0) and (3,0).
b) To determine whether the function has symmetry about x-axis, y-axis, or origin:
We know that
If whenever (x,y) is on the graph, then so is (-x,-y), the graph has the symmetry about the origin.
This function has, (3,0) and (-3,0)
So, the function is symmetry about the origin.