By then, she was a varsity cheer captain who dreamed of attending the University of Tennessee, Knoxville, whose cheer team was the reigning national champion. Galligan had not seen the video before receiving it last school year, when he and Ms. Galligan attended, but did not cause much of a stir. It later circulated among some students at Heritage High School, which she and Mr. Groves had originally sent the video, in which she looked into the camera and said, “I can drive,” followed by the slur, to a friend on Snapchat in 2016, when she was a freshman and had just gotten her learner’s permit.