Newb Question; regarding hosting swf files online

Yesterday I had some problems regarding Flash button coding on Action Script 3. With some help from here, I was able to get it all to work well. I finished the Flash based simple quiz game I was making.

I apologize if the title is vague, but I thought this best described the issue at hand for me. If not, I hope the detailed question below can be of better use.

What I want to do with this flash, which I've published as a swf, html file, is to upload them online to a forum I've been working on. This forum is a free creating forum, Forumotion. Anyway I have the files all done, but need a way to host it on the forum now.

I've been searching and doing research for free hosting sites to upload my swf file to, but have not had much luck. I was just wondering if anyone knew any good, legitimate, and preferably free hosting sites, which I could create a domain space on. I am also unsure if it is possible to do such a thing with a flash/swf files that have been created in Action Script 3.

Any advice or help given would be greatly appreciated. Thank you for your time, consideration, and patience.