The Fedora Core up2date program is, by default, only configured to update from the Red Hat servers. Once your Fedora Core version reaches End of Life, you will want to reconfigure it to use the Fedora Legacy repository so that you can continue to receive updates.
Step 1: Preliminaries: Install up2date
This document assumes you have already installed and are using up2date on your system. If not, it is perhaps better to use yum instead; please see "Keeping Fedora upto date with Yum !" for information on how to install and use yum on your machine. Official documentation can also be reached at: fedoralegacy.org.