The projector has a zoom lens that changes its focal length when you turn a dial. This lens makes it possible to change the size of the image on the screen. Zooming the lens also moves it toward or away from the slide. It should move away from the slide. As the focal length increases, the lens must move away from the slide to maintain this relationship.
Real images are always upside-down with respect to their objects.
On Average, light from the top of the slide is heading slightly downward as it passes through the lens, so it continues downward on average toward the bottom of the real image. Similarly, light from the bottom of the slide is heading slightly upward on average and continues upward after passing through the lens, so that it arrives on the projector screen at the top of the image.