Classic WoW Lvl 10 Pet Quest for Troll Hunter
This video handles the Taming the Beast quest chain from the point just before Thotar provides a taming Rod for your Dire Mottled Boar in Razor Hill. Thotar will provide you with a number of 3 taming rods, every one is different and will allow you tame beasts in the next order: Dire Mottled Boar, Surf Crawler and eventually an Armored Scorpid.
Once you've completed the taming Section of the Quest chain, you have got to head to Orgrimmar and talk to Ormak Grimshot inside the Valley of Honor so that you can unlock your pet handling capabilities: Tame Beast; Feed Pet; Revive Pet; and Beast Training.
Lastly, do not forget to go to the Pet more info here Trainer and get the Pet abilities that you have got to give to your companion pet.