If you are dealing with a reputable doctor, it is unlikely that your Botox was cut, but it can happen. Asking to see the needle filled from the vial before injection is one way to ensure you're getting the real thing.
If you still see some movement, usually it's because other muscles are compensating for the paralyzed one, and actively pushing up against it. Are your other facial muscles around the injection areas a little sore? This is side-effect of their being overworked and is evidence that your Botox is indeed working.
You have remember too, it took years to form those wrinkles, so they're not gonna go away in a week or two. It's gonna take a couple of months, sometimes more, depending on the depth of them. And if some of your really depper ones have been there for for over 20 or 30 years, they probably won't completely disappear, ever - but they should still improve drastically.
Hope I've been helpful.