Consider the curve given by the equation
5
x
2
−
2
x
−
3
y
2
=
72
\displaystyle {5}{x}^{{2}}-{2}{x}-{3}{y}^{{2}}={72}
5
x
2
−
2
x
−
3
y
2
=
72
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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