As mention in a past posting (http://projectcenter.wordpress.com/2008/04/10/web-design-flash/), Flash is an animated component that is usually used as intro to a website, but can be implemented within web pages as well.
Keep in mind that entire websites can be created from the Flash software, but there are big issues with that approach. First, it means that your site will probably need more bandwidth over the internet for a viewer to load the website. Second, once the Flash website is created, it is cumbersome to make any changes at a later time. Third, if a client needs to change designers (i.e. the designer goes out of business or does not provide good customer service), the client needs to have and give access to the Flash source file. Without the source file, Flash needs to be recreated rather than revised, which increases the cost of the project.
As a suggestion, it might be a good idea to ask a prospective designer what softwares they will use to create a client website.
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