Here is some AS3 code for a continuous scrolling background. The code requires 2 background images of the same width that are continuously placed in back of the previous image to imitate a continuous scrolling background. Works best for slow moving background.

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package  {
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import flash.display.MovieClip;
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import flash.events.Event;
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public class eaterMain extends MovieClip {
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//create vars
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var BGround1:Background=new Background();//background 1
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var BGround2:Background=new Background();//background 2
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public function eaterMain() {
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// constructor code
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stage.addChildAt(BGround1, 0);//background1 create child
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stage.addChildAt(BGround2, 0);//background2 create child
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BGround2.x = BGround2.width;
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this.addEventListener(Event.ENTER_FRAME, enterFrameHandler);
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}
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public function enterFrameHandler(e:Event):void
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{
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moveScroll(1);
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}
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public function moveScroll(scrollSpeed): void
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{			
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BGround1.x -= scrollSpeed; 
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BGround2.x -= scrollSpeed; 
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if(BGround1.x <= -BGround1.width)
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{
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BGround1.x =BGround2.x + BGround2.width;
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}
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else if(BGround2.x <= -BGround2.width)
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{
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BGround2.x = BGround1.x + BGround1.width;
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}
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}
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}
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}