In the situation described, a negatively charged sphere (Z) is moving horizontally in an electric field created by two parallel plates. The electric field lines go from the positively charged top plate (W) to the negatively charged bottom plate (Y).
Since the negatively charged sphere (Z) is repelled by the negatively charged plate (Y) and attracted to the positively charged plate (W), it will experience a force directed towards the top plate (W). However, it also moves horizontally.
As the charge moves to the right, it will likely continue to experience a force upwards toward the top plate (W) due to the electric field. As it approaches the edge of the top plate, it will leave the electric field.
Given this information, the charge will most likely leave the electric field near point X (the far end of the top plate).