Consider the curve given by the equation
−
2
x
3
−
5
y
3
=
−
5
x
\displaystyle -{2}{x}^{{3}}-{5}{y}^{{3}}=-{5}{x}
−
2
x
3
−
5
y
3
=
−
5
x
What symmetries does this curve display? Check all that are applicable.
symmetry about the
x
\displaystyle {x}
x
-axis
symmetry about the
y
\displaystyle {y}
y
-axis
symmetry about the origin
no symmetry
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