Welcome jstjosh ..
If it's a monitor that uses a crt, you rotate the deflection yoke 180 degrees, but you must loosen it first. Also, you need to make sure it stays positioned exactly where it is along the neck of the crt, or you will loose purity, convergence (static and concentric), lose or gain horiz width, vertical height and also pincushioning. If you upset these, then you must have knowledge of how to set them where they belong after you move the yoke.
If you do not have this knowledge, I would suggest that you do not try this at all, because once you move the yoke, it is very difficult to get it back close enough to where it belongs by just having taken visual note of it's original position on the crt neck, due to the critical nature of crt beam deflection and scanning. If you decide you want to attempt this but get into trouble, PM me and I'll guide you through the process of set up (adjustment). This is really something best left to qualified electronics technicians though, jstjosh, because convergence adjustments, among others, are critical, and rather tricky, especially on certain brands.
If it's an LCD or plasma monitor, then I don't know, I would have to have the schematic diagram (and not the block diagram, the service manual schematic diagram) to tell you If it could even be done reasonably easy, by an electronics tech.
Now if it's a stationary screenshot image you're talking about rotating, then you just rotate the screenshot 180 degrees in Adobe Photoshop. That's not too difficult .... just push Print Screen on the keyboard/open Photoshop/file/new/ok/ ctrl+v/edit/transform/rotate 180 degrees. Then you would save it as a .jpg, or whatever.