My own Web-site is mostly static, so images (I don't use video) are in the file system. For customer's it is sometimes more complex: The setup of dynamic Web-site content happens in a database application. The images are stored in their raw format in a database and transfered to the file system of the Web-site in the right dimensions and scale when their associated data-set (such as a specific product information, etc.) is to be published. This makes it easy to reuse the images in other contexts, e.g. PDFs, or to adapt to changes in the Web-site layout, e.g. low resolution/high compression for mobile.
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My own Web-site is mostly static, so images (I don't use video) are in the file system. For customer's it is sometimes more complex: The setup of dynamic Web-site content happens in a database application. The images are stored in their raw format in a database and transfered to the file system of the Web-site in the right dimensions and scale when their associated data-set (such as a specific product information, etc.) is to be published. This makes it easy to reuse the images in other contexts, e.g. PDFs, or to adapt to changes in the Web-site layout, e.g. low resolution/high compression for mobile.