I don't know if my Xbox 360 already supports backward compatibility (in the Xbox 360's case, the ability to play original Xbox games) for it, so I decided to update it.
I don't have Xbox Live (which you would usually use), so I decided to update it by downloading the update from and putting it on a CD, and then putting that CD in my Xbox 360.
It doesn't matter what the name/label of the CD or thumb drive is though.
Once you have burned your CD or copied the files to your thumb drive, make sure your Xbox 360 is turned off, then put the CD in the Xbox 360's disc tray, or put the thumb drive into a USB port on the console, then turn the 360 on.
Xbox 360 hard drives manufactured later included updated emulation profiles which allow a greater range of titles to be played out-of-the-box without updating.