This face was once part of a 9 foot tall statue of the king Amenhotep I, second ruler of the 18th Dynasty. He had several of these set up to line a processional avenue leading up to the temple of Montuhotep II at Deir el Bahri along which a statue of Amun was carried once a year.
Montuhotep II was the king who had re-unified Egypt to start the Middle Kingdom, and the early 18th Dynasty kings were keen to associate themselves with him. By this they were positioning their own re-unification of Egypt as following in the footsteps of their forefather.
The procession of Amun that Amenhotep I was facilitating with his avenue was presumably the Beautiful Festival of the Valley, which later also visited the temple of Hatshepsut and then the many Mansions of Millions of Years of the later New Kingdom kings.
The statue was found in the court of the temple of Montuhotep II at Deir el Bahri, and is now in the Met Museum (acc. no.: 26.3.30).
See it on my photo site: https://photos.talesfromthetwolands.org/picture.php?/1170/
I’ve written about Montuhotep II on the blog before: https://talesfromthetwolands.org/2019/09/11/the-one-who-unites-the-two-lands/
And I’ve written about Amenhotep I’s mother Ahmose-Nefertari, too: https://talesfromthetwolands.org/2019/12/11/ahmose-nefertari/