Rotation of 180 degrees counterclockwise or clockwise around the origin has the following characteristic: the coordinates of the image are M'(-h, -k) for a preimage of M(h,k).
Thus, the coordinates of Y' are:
[tex]Y(-1,1)\rightarrow Y_{}(-(-1),-(1))\text{ }\rightarrow Y(1,-1)[/tex]The answer is Y'( 1, -1) (or option B).