Toyota Corolla: Loud start-up

The lifters in my 2012 Toyota Corolla Ascent Sport 1.8-litre dual VVT-I engine are very noisy during start-up and the engine makes a rough rattling noise for a few minutes no matter at what temperature during the day. This normally happens after the car has been sitting for a couple of hours whether in the garage or outside at the car park. It gets quieter after about 5-10 minutes from cold start. Is this noise normal for a brand new car?