I need to do more research, but one possibility is the Goddess of the Night book, first of the Daughters of the Moon series. The main character, Vanessa, has the ability to become invisible (and later float), but only when she's feeling strong emotions. Her best friend is a time traveler and she later meets two other girls, one of which has the power of premonition and another the power of telekinesis. I have not yet found any mention of someone growing taller, but the first girl she meets with powers after Catty (the time traveller) is a Serena Killingsworth with unexplained powers of darkness that include reading minds.
I have requested the book from my local library. A quick readthrough of the first chapter suggests that this is not a match after all, as her power got triggered during a nightmare as a child:
That had been the night she woke from a nightmare and couldn't see her body in the pale glow of the night-light. She had been terrified and afraid to tell her mother. She had thought she had done something bad. Her mother had heard her crying and ran into her room. She had lifted her arms to be comforted, but her mother couldn't see her. That had frightened her even more. While her mother was searching the house for her, her molecules had come back together, but they had come back wrong. Her face had looked different. She had locked herself in the bathroom then, know her mother could never love her now. Sleep had finally taken her, and when she woke in the morning back in her own bed, she had looked normal.
Also, basketball is only mentioned in the context of a description of the gym.
