Final answer:
Luteinizing hormone (LH) is responsible for the maturation of the graafian follicle.
Step-by-step explanation:
The hormone responsible for the maturation of the graafian follicle is luteinizing hormone (LH). LH is produced by the pituitary gland and plays a crucial role in the menstrual cycle of females. It stimulates the mature egg to be released from the follicle during ovulation.