Saving Search results in Sharepoint 2010

Steve Curren’s answer in MSDN forums: http://social.msdn.microsoft.com/Forums/en-US/sharepoint2010general/thread/786e9838-83f7-453f-b21d-91f3ddeb2bc9/

“The searches are logged. You can view search reports under Site Settings–> Site Actions–> Site Collection Web Analytics Reports. Here you can see such things as “Top Queries”.  There are a lot of links about SEO optimization and SharePoint. You can start here. http://blogs.msdn.com/b/opal/archive/2010/04/23/sharepoint-2010-search-engine-optimization-seo-tips.aspx

SharePoint Custom Search Results Page
Sharepoint Search Autocomplete Textbox