Hair Growth Remedies

I recently had my hair cut short and I desperately want it to grow back. After having researched online, I found various products, shampoos and conditioners which claim to increase hair growth. Is anyone aware of this and if so, any ones to recommend?
Thank you for any answers.

If one parent has really fast growing hair, and the other has slower growing hair, then would the offspring have an average hair growth rate or would it be faster or slower? Or does the hair growth rate have anything to do with dominant and recessive genes at all?