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    how can you tell what a transformation does without drawing things out?

    e.g. f is the isometry with f(x,y)=(-y+3,x), how do you know if this is a rotation, reflection etc. without plotting points?
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    Firstly, it swaps the axis so what is currently y becomes x, and what is currently x becomes -y (swaps axis and reflects it 180 degrees in the axis), plus it moves it 3 units 'upways'. Well, I hope it does anyway - it does in my head without drawing it:p:
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    thanks!
 
 
 
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Updated: November 14, 2008

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