Concept:The mapping (yx)→(y−2x) keeps x the same and subtracts 2 from y. It is a translation of 2 units downward.Given:Point (x,y)=(2,−3)Solution:New x-coordinate =x=2 (unchanged).New y-coordinate =y−2=−3−2=−5 (moving 2 further below −3 on the number line).So the image is (2,−5).Key point:−3−2=−5, not −1; subtracting from a negative number makes it more negative.Answer:Option C ((2,−5))