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Let F(x,y) = y - x^3
Note that (-x)^3 = -(x^3)
This suggests that
F(-x,-y) = -F(x,y)
(-x,-y) represents the point (x,y) reflected through the origin. You could say the function F has anti-point symmetry -- each point (x,y,F) is reflected through the origin at (-x, -y, -F).
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