What is the best graphic card for Core i5 3570k?

For dota 2 at max, you'll only need at most a gtx 660 or 7850. You might even be able to get away with a 650ti or 7790, not sure if it'll cause a reduced FPS though, and if it does, it would be an extremely small dip in the fps. Probably not even noticeable, like, 50 fps or so.
 
Take a look at this:

http://www.game-debate.com/games/index.php?g_id=1249&game=DOTA%202

If these requirements are true, you don't need a very powerful card. It seems like even a Radeon 7750 would be more than enough.

However, if you think there's a slight chance you might want to try other games as well in the future, your i5-3570K is one hell of a processor so I'd be tempted to pair it with a GTX 760 myself.

 
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