Answer
Quadrant III, Quadrant I, Quadrant IV, Quadrant IV
Work Step by Step
Since (a,b) is in the second quadrant, a<0 and b>0.
(a,-b): a<0, b<0
(a,-b) is in Quadrant III.
(-a,b): a>0, b>0
(-a,b) is in Quadrant I
(-a,-b): a>0,b<0
(-a,-b) is in Quadrant VI.
(b,a): b>0, a<0
(b,a) is in Quadrant VI.