Formal:
* Bonjour, je m'appelle Jasmine. (This is the most common and polite way to introduce yourself.)
Informal:
* Salut, je m'appelle Jasmine. (This is more casual and appropriate for friends or people you know well.)
* Coucou, je suis Jasmine. (This is even more informal and friendly, but might be considered too casual for some situations.)
You could also use a direct translation of "Hi, my name is Jasmine" which is:
* Bonjour, mon nom est Jasmine. (This is grammatically correct, but not as commonly used as the first option.)
Which one you choose will depend on the situation and the person you are speaking to.