The first thing is to define what the quadrants are:
Each of the four infinite regions into which the axes of the two-dimensional cartesian system divide the plane is called a quadrant:
Knowing this, we can answer when one:
1.
preimage A(-3,-5) III quadrant
image A'(-6,-5) III quadrant
2.
preimage A(0,0) no quadran, in the origin
image A'(0,1) I quadrant
3.
preimage A(-1,4) II quadrant
image A'(3,-1) IVquadrant