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What does the algebraic representation (x, y) → (-x, y) represent?

User Polypiel
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1 Answer

8 votes

Answer: Reflection over y axis

Step-by-step explanation:

Consider the point (1,2). If we apply the rule
(x,y) \to (-x,y), then it would move to (-1,2).

The x coordinate flipped in sign from positive to negative. The y coordinate stays the same.

Another example is (-3,7) reflecting to (3,7).

User Chris Lam
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