Consider the curve given by the equation
2
x
2
+
2
x
−
4
y
+
3
y
2
=
125
\displaystyle {2}{x}^{{2}}+{2}{x}-{4}{y}+{3}{y}^{{2}}={125}
2
x
2
+
2
x
−
4
y
+
3
y
2
=
125
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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