Solving the function for y, it is found that the function is symmetric over the x-axis.
The function is given by:
x - y² = 0.
The solution for y is given as follows:
y² = x
y = ± sqrt(x)
y = -sqrt(x) or y = sqrt(x)
-sqrt(x) and sqrt(x) are symmetric over the x-axis, hence, since y can assume both functions, the function is symmetric over the x-axis.
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