the adjective phrase

An adjective phrase is a prepositional phrase that modifies a noun or
a pronoun. This phrase answers the question Which one? The adjective
phrase follows right after the noun or pronoun that it modifies or describes.
Generally, if you cannot logically move the prepositional phrase within the
sentence, it is most often an adjective phrase. Remember that an adjective
phrase contains no verb.

The adjective phrases are underlined in these sentences.
Some programs at our local library were requested last year. (Which
programs? the ones in our local library)
These women in this photograph are my aunts. (Which women?
the ones in the photograph)
The programs on her favorite television station are often repeated.
(Which programs? the ones on her favorite television station)