what types of graphics cards are spported by the foxconn 2a92 motherboard?

I couldn't really find much info on that motherboard. I'm assuming it is a motherboard built for an OEM like HP? If you can give us the model number of the computer, then that will be a lot easier for us to lookup.

However, based on the little information I found, it appears to support PCI-E graphics cards, which are pretty much all modern graphics cards. Before you buy any random graphics card, you'll have to consider the computer case size (the graphics card must physically fit inside of the case), the PSU (graphics cards can require a lot of power), CPU (if your CPU is too old/slow, it can be a bottleneck). And you also have to consider the cost of upgrading any other parts vs the cost of buying a newer computer.