Determine the mapping for transforming the point (x,y)

by reflecting about the line y=x
, rotating 180°
counterclockwise, and then translating 4 units down and 5 units to the right.(1 point)
Responses

(x,y)→(−y+5, −x−4)
(x,y)→(−y+5, −x−4)

(x,y)→(−y−5, −x+4)
(x,y)→(−y−5, −x+4)

(x,y)→(−y−5, x+4)
(x,y)→(−y−5, x+4)

(x,y)→(y+5, x−4)

The correct mapping is: (x,y)→(−y−5, x+4)