I assume you are talking about the symmetry of graphs of equations and not the symmetry of "functions". Functions have conditions that are not satisfied by all equations. Your first case allows for x to be considered a function of y, or as you have rewritten it, for y to be a function of x, but in the latter case it is only a function because you have writtenability said:Here's 2 more I am having difficulty with, I'll show you what I came up with or what I think the answer is
1. 2x = 3y^2
(sqrt 2x/3) = 3y/3
y = sqrt (2x/3)
Symmetric to the X-axis
2. x^2 + 4y^2=16
not symmetric to any axis