Yes, you are correct! In the sentence "I made up my mind to go there," the phrase "to go there" acts as an adjective phrase modifying the noun "mind." It provides more information about what the speaker made up their mind about. By using the phrase "to go there," the speaker is indicating that they have decided to go to a specific place. Adjective phrases are groups of words that function as adjectives, providing additional details or descriptions about a noun or pronoun in a sentence. In this case, the adjective phrase "to go there" clarifies the purpose or intention behind the speaker's decision.