Shih-poos are a cross between a Shih-tzu and a poodle. They are a small, hypoallergenic breed that have been intentionally created about 20 years ago.

there is really no such thing as a "discovered" breed, all dogs were domesticated from wolves and other breeds of wild dogs intentionally for some purpose. Although some breeds of dogs are not registered with the Canadian Kennel Club (CKC) as an actual breed. for example, the border collie cannot be shown in confirmation dog shows, because it is not recognised by the CKC.

"Designer breed" is just a fancy name for an intentionally mixed bred dog. They're still considered mutts by kennel clubs and do not breed true. For example, if you breed a cock-a-poo to a cock-a-poo you don't necessarily get something that looks like a cock-a-poo. It might look more like a Cocker Spaniel or Miniature Poodle.

You can breed just about any breed of dog to another, especially if they are of similar size. If one parent is significantly larger than the other it may actually kill the mother if she is the smaller of the two.

Mixed breeds occur enough by accident without being intentionally bred by people looking for an easy income. Most designer breed dogs are created in puppy mills. So consider rescuing first. Save money and save a life. A mixed breed dog doesn't have to cost thousands of dollars just for a cute name. Cute names are abundant and free.

The common name would be 'selective breeding'.

to do something intentionally is to do it on purpose, to mean to do it - for example 'I hurt you intentionally'