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Negative lenses has base out prism.and light entering deviates light towards base through the focal point behind the lens while the image is replaced towards base apex. When you decenter the lens downwards, a new ray is incident but must still go through the focal point of the lens, thus it must bend more towards the base. The image is then displaced even more than the first towards the apex which results in the illution that the image has moved down as well. Same counts for positive lenses but it has against movement.

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Q: Why does image move in same direction as the negative lenses?
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