Why does the original image appear on my desktop and not the adj one ?
I made adjustments to an image it shows as adjusted with the symbols in the lower right of the image.
I tried to drag and drop it and it transferred the original image.
Can the adjusted image be transferred and what do i need to do or am i doing something wrong ?
Lightroom performs non-destructive editing i.e. it keeps the original image intact.
When you import an image in Lightroom, it does not keep the original image, it just creates a preview for that image and references to the original location.
Any edits that you do within catalog remains inside that catalog on that preview itself, so you need to export the images from Lightroom to get those edits outside Lightroom.
Refer this tutorial for export : How to export photos from Photoshop Lightroom
Chetna pretty much nailed it. You'll do well to spend some time learning how Lightroom works. It isn't like most of the software that you've used before, and if you don't understand what it does and sort of how it does it, you stand a good chance of losing your images.
Try Googling "Lightroom tutorials" or "Getting Started in Lightroom". It isn't rocket science, but it's different.