A big black hole gets perturbed as it swallows up a much smaller black hole. A little black hole really would distort a big black hole as it fell in, but the deformation shown here is an artist's interpretation (it scales about right with separation, but I cranked up its strength to make it visible).
The movement of the little hole black hole is approximate, but scientifically realistic. It's made from a sequence of black hole orbits using something called the Gair-Glampedakis kludge. The reflective nature of thee black hole horizons are fake, as is the little hole's trail which is 30 seconds long. The motion is in real time from the perspective of a distant observer. I'm not showing any light bending, but if there was a background of stars or some other source of light, there would be plenty of light bending. The big hole here is 3,000 times as massive as our sun, and is about 8,000 miles across as measured by a stationary distant observer. The big hole is spinning rapidly (hence the bulge on its equator). The small hole has is 150% as massive as our sun. Other than the fake tidal distortions that follow the location of the little black hole, the size and shape of the big hole's horizon are realistic. The small hole is shown about 100 times larger in size.