on Just Publishing Advice:
Is it a surprise that the noun participle has an adjective form?
If you arrived at this article by asking Google, what is a participle phrase, don’t feel bad.
While the correct term is a participial phrase, I doubt anyone would argue that either the adjective form or the compound noun is acceptable.
For many writers, the use of the present participle can be a little confusing at times. It is because it has so many applications.