After you have modified your report to your liking you should save it in the Analyze section. This is done from the very top of the page next to the survey and report names, see the picture to get a better idea.
Simply click "Save as report" to save your edited report for later use and sharing. You can view your reports from the small arrow next to the saving text. The default "All Results" view will never be deleted or removed when you are creating reports and you can always get back to it through the menu.