This is the 8238th most frequent Turkish word.
mezarlığına
"To the cemetery" or "to the graveyard."
The word 'mezarlığına' here means 'to/in the graveyard of' and shows possession (grandfather's) and location (where Ayşe leaves the flowers).
Ayşe, her bayramda büyükbabasının mezarlığına çiçek bırakır.
Ayşe leaves flowers on her grandfather's graveyard every holiday.
'Mezarlığına' in this usage refers to 'to the graveyard,' indicating the destination of the road.
Mezarlığına giden yol çok tenha ve sessizdi.
The road to the graveyard was very deserted and quiet.
Here, 'mezarlığına' denotes 'to/in the graveyard' and is used in a historic and public context.