Eyebrows have changed shape and dropped very low after receiving botox 12 days ago. Is there anything that can be done to fix?

In my opinion, 12 units of Botox in the forehead is a moderate treatment, not a light dose.  The frontalis muscle (forehead) is the only upward supporting muscle of the brow.  Even modest doses can cause a little drooping. In the future I would suggest dropping to 6 or 9 units. In the meantime, you might see a small improvement in brow position by treating the downward pulling muscles that act on the brow - corrugators, procerus (frown muscles) and temporal portion of the orbicularis muscle (crow's feet). If those have already been treated you will have to wait a short time for your brow to recover. Fortunately, a small droop frequently lasts only a few weeks. Best wishes. You will be happy when you discover the ideal dosage for your face. 

Sorry to hear about your experience. Botox results typically last up to 3 to 4 months and can be softened with Venus Legacy and Thermage treatments. I recommend following up with your surgeon or getting a formal evaluation with a cosmetic dermatologist. Best, Dr. Emer

Thank you for sharing your question and photographs.  Unfortunately it appears that you have suffered with some sagging of your eyebrows resulting in heaviness of the upper eyelids.  This will wear off in time but you may see some temporary improvement with treatment to the crow's feet region and/or glabella.  Based on your sensitivity to the product it would be best to let your injector see your results so that future treatments can be tailored accordingly.

Although Botox is not reversible, injections into the lateral brow (often in combination with treatment of the crow's feet, or lateral small lines), can elevate the brow to some degree.  This is something to consider.  Please seek re-evaluation with your treating physician to discuss your concerns and seek correction, if possible.  
Best of luck!

Botox locks the release of a chemical called acetylcholine, which triggers the muscle contractions that create wrinkles. Botox essentially paralyzes the muscles and stops them from contracting. Results from these treatments are visible within 3-14 days with results that can last anywhere from 3-4 months. Unfortunately, Botox cannot be reversed. Follow up with your injector at 2 weeks to discuss any questions or concerns that you may have. Hope this helps.