You are going to have to find where your 'developer' has inserted the flash. The best thing is to ask them, but I suspect that isn't going to work. So, next guess is that if I wanted to do it (although I can see your point about the meaninglessness of this particular bit of flash so I don't think I would) I would put it in (includes/templates/yourtemplate/tpl_index_default.php). have a look in that file and see if you can see where the flash is inserted - it will be pretty evident. It will look like this:
Code:
<!--Valid flash version 8.0-->
<object classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000"
codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=8,0,0,24"
width="1038" height="429">
<param name="movie" value="includes/templates/theme238/flash/header_v8.swf" />
<param name="quality" value="high" />
<param name="menu" value="false" />
<!--[if !IE]> <-->
<object data="includes/templates/theme238/flash/header_v8.swf"
width="1038" height="429" type="application/x-shockwave-flash">
<param name="quality" value="high" />
<param name="menu" value="false" />
<param name="pluginurl" value="http://www.macromedia.com/go/getflashplayer" />
FAIL (the browser should render some flash content, not this).
</object>
<!--> <![endif]-->
</object>
Then make super sure that you are backed up. Particularly the file you are about to edit.
Then, delete it. And then take a hammer to it and smash it into little bits so you are not tempted to re-install it. (Are you beginning to guess that I am not a big fan of flash?)
Then that is the exact spot in the code where you want to insert your nice new, fast loading, effective static graphic.
It would be best to insert a new <div> of the correct size and then put the new graphic as a background image of that <div>. If you need help with that last part then post again and I'll be a bit more detailed. I do not know how much html/css/php you know!
Oh, and then smash the flash into even smaller bits just for fun.