math

A 47 degres counterclockwise rotation centered at (3,-1) transforms (2,1) into what point?

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  1. first, write (2,1) = (3,-1)+(-1,-2)
    so, the rotation has the same effect around (3,-1) as rotating (-1,-2) around the origin.

    So, use your normal transformation matrix on (-1,-2) to produce (h,k).
    Then undo the translation by adding back in the (1,2) you took away first.

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