follow through phrasal verb ( see also ↑ follow )
1 . to do what needs to be done to complete something or make it successful:
The project went wrong when the staff failed to follow through.
follow something ↔ through
If you have followed through all the exercises in this book, you should be ready for the second year course.
2 . to continue moving your arm after you have hit the ball in tennis, ↑ golf etc ⇨ follow-through