You can't.Cheetah are wild animals.But Ocelots can!They only spawn in jungle biomes.They are "shy" mobs.they are pasitive.they attack chickens.giving them raw fish.they will make as a pet.It is now a cat.Special:Creepers are afraid of cats.Maybe the cheetah you saying is Ocelots
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You don't - You kill it to get a portal so you can escape The End. (Take a good bow (Flame wont help) and a good sword + potions!)
You have to craft it at the Crafting Tree in Squippit Hollow Make Sure To Have All Of The Items Good Luck!!!Check Jellyneo's Petpet Park guide for help with other jobs and other things on Petpet Park.
if you want to make you pet follow you try making level ups for your pet.
To make a pet follow you on movie star planet one might look to the user FAQ's. There are videos on YouTube that suggest feeding and then clicking on the pet and moving will make it follow.
How I got mine was by buying all the toys for the animals and all the furniture.