Find Contacts: collapse search form on results page

A client new to CiviCRM thought that Find Contacts wasn't finding anything, as the search results were off the bottom of the screen below the search form. Advanced Search collapses the search form following a successful search. Even though the Find Contacts form is much smaller than Advanced, I feel it would be a worthwhile improvement, especially for those with small screens or large fonts, to make Find Contacts behave the same way.