I have a single handle shower,when I turn it on the cold water comes out strong,but the hot just comes out very slow.I think it is a compression type,it has a hard plastic gasket on the end and the stem has holes about half way up the stem,I don't know what model this is.

Is it a new faucet, just installed ?

The house is 3 years old, and never lioved in

It appears that you have problem with either the anti-scold balancing device inside the faucet. You will have to take the cartridge out and see if you can either clean it or replace it with new one.

I will be going up to the house this weekend I will try to see if I can fix it or will have to replace it ,will let let you know thanks