Yes there are few models of HP Notebook 15 that comes with Dedicated Graphics card : HP Notebook - 15-ay079tx:- Intel® Core™ i3-5005U Processor,8GB RAM ,2GB Graphics Card. HP Notebook - 15-ay011tx:-Intel Core i5 Processor i5-4210U,4GB RAM,1TB HDD,2GB Graphics Card.
The repair and replacement mostly covers the manufacturing defects. And for the accidental damages if you have registered for the extended warranty, it would cover most of the part. otherwise you will have to pay for the repair.
There are 3 Variants of HP Notebook 15 and they as follows: HP Notebook -15-AC650TU :- Intel Core i5 Processor i5-4210U,4GB RAM,1TB HDD HP Notebook - 15-AC647TU:-Intel® Pentium® Quad Core N3700 Processor,4 GB RAM,500GB HDD HP Notebook - 15-ay020tu:-Intel® Core™ i3-5005U Processor,4GB RAM, 1TB HDD