Because my dad just bought this computer with incredible specs. (at least according to my standards) I don't remember the specifics, but it was like this: Quad-Core Processor 6mb RAM Graphics card already mentioned 1TB hard drive.
Also, how good can this computer run this?
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Figure out how fast them processors is and get back to us.
TF2 doesn't need particularly fast processors, mind you, so you shouldn't have any problems. My brother can play it fine with a pair of 1.6 GHz processors, which is really kinda cheap by today's standards. Graphics card is the most important in my experience.
Anyway, your graphics card is a fair bit worse than mine, and I can get up to almost max graphics (and with no antialiasing) without FPS going bad. Medium-low graphics might be the best you'll get, I predict.