I have folded the backing over to make the binding on the front and have also folded the front over to the back for binding. Either way works with a little trial and error. Also done both single and double fold binding with and without mitered corners. Occasionally I have folded both front and back edges and sewed around the quilt when there wasn't enough for binding.
Remember if someone tells you there is only 1 way to do something "Quick run away!"
Longarm (a longtime quilter and sewer.)