This cable connects your PSP Slim 2000 & 3000 (whole serial numbers beginning from 2000-3009) with your TV AV input (small cinch connectors, one yellow, one white, one red).
Please note that on PSP 2000 series, you cannot display games on the TV, just videos, movies & MP3s. For PSP3000 you can also display games on the TV.
To check which serial number you have, please open the battery cover and take out the battery. The Serial Number is now displayed (i.e. SCPH2000 or SCPH 3000 etc).