transformation

A quarter turn is a 90 degree rotation. If the counterclockwise quarter-turn centered at (3,2) is applied to (7,1) what are the coordinates of the image? What are the image coordinates when this transformation is applied to a general point (x,y)?

I have (4,6) but i can't get the second one.

Pls find attached work.i have found a vector pattern for the transformation

Hello, Veronica1999!

Quote:

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A quarter turn is a 90 degree rotation.
If the counterclockwise quarter-turn centered at (3,2) is applied to (7,1),
. . what are the coordinates of the image?
What are the image coordinates when this transformation
. . is applied to a general point (x,y)?

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We have the point and any point

Code:

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      |                y-2
      |            Q * - - *
      |                    :
      |                    :
      |                    : x-3
      |                    :
      |                    :
      |                    :P
      |                    *(x,y}
      |                *  :
      |            *      :y-2
      |        *          :
      |  A * - - - - - - - *
      |  (3,2)  x-3
    --+------------------------
      |

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Going from to , we move units right and up.

Going from to , we move units up and left.
. . (I hope you understand why.)

Therefore, point is at: .