If you change the sign of a point’s x -coordinate from positive to negative, how will the location of the point change?

The complete question in the attached figure

we know that
If you add a negative to the x-coordinate of a point, then the point will move to another quadrant
example
if the point is on the first quadrant
then 
the point will move to the second quadrant

if the point is on the fourth quadrant
then 
the point will move to the third quadrant

in both cases the y-coordinate remains the same
hence

the answer is
The point will cross over the y-axis

False because how does that work?