Based on the HP part number it's an Nvidia Geforce FX6800. Ok for things like Office, watching videos, general internet surfing and the like, but not worth keeping if you intend to game.
Best anyone can tell from that photo is that it's an NVidia G-Force 6 series card from ASUS. There should be a label on the back side with a model/product number that will nail it down.
Based on the HP part number it's an Nvidia Geforce FX6800. Ok for things like Office, watching videos, general internet surfing and the like, but not worth keeping if you intend to game.