SOLUTION: For the equation 9 x ^3 - 9 y ^2 = -6 answer the following questions. Is the equation symmetric with respect to the y-axis? ( yes or no) Is the equation symmetric with respect to

Question 994548: For the equation 9 x ^3 - 9 y ^2 = -6 answer the following questions.
Is the equation symmetric with respect to the y-axis? ( yes or no)
Is the equation symmetric with respect to the x-axis? ( yes or no)
Is the equation symmetric with respect to the origin? ( yes or no)
I have substitute both axis and the origin with the corresponding transformation of -x and -y. However, I couldn't find the right answer and I would like to know what I did wrong.
For example,
x axis: 9x^3-9(-y)^2=-6
9x^3-9y^2=-6 <-- same equation as original therefore Yes
Y axis: 9(-x)^3-9y^2=-6
-9x^3-9y^2=-6 <--- not the same equation as original therefore No
Origin: 9(-x)^3-9(-y)^2=-6
-9x^3-9y^2=-6 <--- not the same equation as original therefore No

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Looks symmetric to the horizontal axis to me. And it certainly is not symmetric to either the vertical axis or the origin.

So I don't know what you mean by "couldn't find the right answer" because the right answer is right there in your post.

John

My calculator said it, I believe it, that settles it

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