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Answer:
Either of ...
- (x, y) ⇒ (-x, -y)
- Rotation 180° about the origin
Explanation:
There are at least two ways to express the transformation that maps each coordinate to its opposite.
1. reflection across the origin: (x, y) ⇒ (-x,-y)
2. rotation 180° (either direction) about the origin.
Take your pick.