Ray tracing diagrams fall short in helping people actually understand the difference between real and virtual images. See both real and virtual images for both lenses and mirrors.
By focusing a real image onto a surface such as a wall or a sheet of paper, the image will appear on the surface, but only if the lens is held at the correct distance from the surface, and the image will always be inverted.
Conversely, when dealing with convex mirrors, and concave lenses. We don't see a real image, instead we see what's called a virtual image. That is an image that doesn't project onto a surface, rather it appears within the lens or the mirror itself. And that image, will always be upright.