I had a bit of a moustache. My family said it didn't suit me, so I shaved it off. Now I think I looked beter with the moustache. It's been almost two weeks and it's only grown back a little bit. Will it grow back? My parents said it'll take about a month.
When hair is actively growing, it gains about 1/2 inch per month. However, each hair folicile is not active all the time. Since you are just starting to grow facial hair, it may not grow as thickly as an adult; therefore, it takes longer hair for the fewer hair strands to be noticeable. So, yes, your parents are correct that it will be about a month before your moustache is similar to what it was before you shaved it off.