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, then the equation is symmetric about the x-axis. So in this case, we only need to replace y with negative y and see if the equations are equivalent.
Start with the given equation
Replace each "y" with negative y
Raise -y to the fourth power to get
. Raise -y to the second power to get
Since the first equation
is equivalent to the last equation, this shows that graph is symmetric about the x-axis
For visual proof, here's the graph:
From the graph, we can see that equation is symmetric about the x-axis