Positioning the search form on the search results page
By default, the FDSE search results page will include a search form at the bottom of the page, containing the keywords that the visitor had previously entered.
You can make that search form appear above the results, below the results, both, or neither. To control positioning:
Make sure you have FDSE version 2.0.0.0056 or newer installed.
Go to "Admin Page" => "User Interface".
Scroll down to the section labeled "HTML Form for Searching - Search Results".
There you can enable or disable the two possible search forms.
These controls are also mirrored on the page "Admin Page" => "Advertising System" => "Select Ad Positions".
"Positioning the search form on the search results page" https://www.xav.com/scripts/search/help/1144.html