Here at eNotes, we are not allowed to provide you with a fully written assignment. However, I am happy to give you some ideas of what you might want to write about in your essay.
First of all, you might want to start off by explaining what performance art is, as it is always a good idea to define the key terminology you are using. The Tate Modern defines performance art as
Artworks that are created through actions performed by the artist or other participants, which may be live or recorded, spontaneous or scripted.
This clearly sets it apart from more static art forms, such as paintings or sculptures.
Secondly, you need to have a look at different performance artist and choose one that you would like to research further. I would recommend researching Ana Mendieta, as her work is very interesting indeed. When you research her further, you will find that she was born in Cuba and later moved to the United States when she was only twelve years old. As she came to America without her parents, she faced quite a tough life, as she had to live in refugee camps, various foster homes, and even orphanages.
Thirdly, you will need to decide on an aspect you would like to research further with regard to your chosen artist. If you were to choose Ana Mendieta, for example, you could explore the extent to which her performance art is autobiographical and how effectively this has been done. As part of this, you could research how Ana Mendieta's work deals with her past and issues such as having to leave her family and her home behind and the other problems she had to face at such a young age.