This is the 9983rd most frequent Polish word.
austriackiej
"Of Austrian"
In this sentence, 'austriackiej' is used as an adjective to describe 'kultury' (culture), expressing its origin from Austria.
Wspieram rozwój austriackiej kultury na świecie.
I support the development of Austrian culture around the world.
Here, 'austriackiej' serves as an adjective for 'architektury' (architecture), indicating that it pertains to Austria.
Podziwiam piękno austriackiej architektury.
I admire the beauty of Austrian architecture.
In this usage, 'austriackiej' modifies 'kuchni' (cuisine), implying that the cuisine is characteristic of Austria.