How do I know if a laptop has good graphics?

Tyically, there are 3 possible graphics chipsets that will be installed on a laptop. If you're concerned about playing games (like World of Warcraft, etc.) on a laptop, it's a good idea to avoid Intel graphics. Intel graphics function fine for most purposes, but show their weaknesses when it comes to 3D games.

The other two ways are ATI and Nvidia. Personally, I prefer Nvidia. I find their driver installation to be quick and easy and many games run better on them. With Nvidia, the naming scheme is a number and a suffix. The first digit indicates the series of the card (5000 series, 6000 series, etc.). The second digit indicates the particular card in the series as compared to the others in the series (a 6600, 6800, etc.). The last two digits generally mean nothing.

The suffix is VERY important. Usually it will be "GT," "GTS," "GTX", etc. The order of power, from least to greatest, is GS, GT, GTS, GTX. The suffix can make all the difference as to whether a card is really good compared to others, regardless of series: for instance, a 7600GS isn't as good as a 6800 GTX, even though the 7000 series came afterward. GS is the gimpy version, GT is "standard," GTS is slightly souped up and GTX is top-of-the-line. In a side-by-side comparison, my 6600GT performed equally well against a 7600GS. Also, the best card in a particular series is the x8xx version of the card: 6800, 8800, 9800, etc. So if you're concerned about graphics, try to get a laptop with the x8xx card (nowadays it'd probably be a 9800, or one from the newest series of cards, explained below).

Nvidia chipsets in laptops are going to be the "Go" version of the card, which is generally less powerful than its desktop equivalent.

In the examples above, I list the old naming scheme. After the 9000 series of Nvidia chips, they switched their naming convention to be "GTX" and then three digits, starting around the 250. So current cards are the GTX 250, GTX 260, etc. Any laptop that actually has one of these chipsets is going to be expensive, will but probably perform better than any older model. I would say that as long as a laptop has a 9000 series nvidia or higher, it would be considered "good" for a laptop.

Hope this helps!

http://www.notebookcheck.net/NVIDIA-GeForce-GTX-28...

This is the link for the best laptop graphics card. In this website they list all graphics cards for laptops and their ranking. You can research it here.