Good Computer for Games?

-I just bought a computer but idk if it's gonna play good graphic games like call of duty or crisis 2.

The specs are:

i7 2600 3.40ghz

8gb DDR3 ram

1gb ATI Graphics Card

Blue Ray Drive

2tb SATA Hard Drive

960watts Power Supply.

thanks.AlienWare computers are real good for gaming or you can build your own custom computer.