SOLUTION: I'm trying to find the axis of symmetry for this probllem: x^3-4y^2-1=0 I don't know what to do about the Y in the expression. It's confusing. And the problem says: determine symme

Question 547280: I'm trying to find the axis of symmetry for this probllem: x^3-4y^2-1=0 I don't know what to do about the Y in the expression. It's confusing. And the problem says: determine symmetries (x-axis, y-axis, and origin) for the graph of the following equation.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I'm trying to find the axis of symmetry for this probllem: x^3-4y^2-1=0 I don't know what to do about the Y in the expression. It's confusing. And the problem says: determine symmetries (x-axis, y-axis, and origin) for the graph of the following equation.
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Interchanging +y and -y makes no change, so symmetric to x axis.
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Interchanging +x and -x does make a change, so no y-axis symmetry.
---
Changing both and taking the negative of the result WILL make
a change, so no origin symmetry.
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Cheers,
Stan H.
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