This is a construction in which the infinitive is in predicate relation to a noun or a pronoun preceded by the preposition for.
The Construction can have different functions in the sentence:
- Subject
It’s important for you to finish the course and get a qualification.
But if the adjective expresses a personal quality, e.g. brave, careless, clever, foolish, generous, good, kind, mean, nice, polite, wrong, etc., it is followed by an of-phrase + an Infinitive.
It was clever of Tina to find that out.
- Predicative
It is not for me to say.
- Complex Object
after verbs apply, arrange, ask, call (=demand), long, prepare, wait and the adjectives anxious, reluctant, keen, etc.:
I’ll wait for you to finish your breakfast.
- Attribute
I’ve made arrangements for someone to take photos (or some photos to be taken).
- Adverbial modifier of purpose
For plants to grow properly, you have to water them regularly.
- Adverbial modifier of result
The light wasn’t shining brightly enough for anyone to notice it.