I am attempting to use the \'File\' function in ActionScript 3 to save the following information:
I have varying draggable display objects in the scene, the amount a
You already have some answers here but from your question, maybe you are missing the larger context.
So the File class represents a path to a file on disk and the FileStream class enables reading and writing data to that file. These are easy to use and there are many examples on the web. Here is one tutorial from Adobe: Reading and writing files
But what data to write and what is the format and data type? Those are the more important and more interesting questions.
The simplest approach is to use a text based format like XML or JSON where you read and write whatever properties of Sprites (or other objects) you want. One advantage of this is that the resulting file is a human readable/editable text file. A minor disadvantage is that you need to specify which properties to save and restore and deal with simple data type conversions (string to int, etc).
A more robust approach is to use what is called Serialization where the state of an entire object is saved and restored. This is more complicated and while not hard, is probably overkill for your project needs. There are good examples and discussion here , here and here.
For your current project and skill level, I'd suggest using XML orJSON Here's a tutorial using XML: Loading and Processing External XML Files