Using translation concepts, it is found that the image of point R after the transformations is given by: (1,-2).
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The first transformation is:
(x,y) -> (x - 3, y + 5).
Hence:
(2,-3) -> (-1, 2).
For the rotation of 180º counter clockwise, the rule is:
(x,y) -> (-x,-y).
Hence the image is:
(-1,2) -> (1,-2).
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