Hudgens tweeted on Sunday that her father had died from cancer the night before.
"I am so sad to say that last night my daddy, Greg passed away from stage 4 cancer," she wrote. "Thank you to everyone who kept him in your prayers."
She continued and made it very clear that the show would go on: "Tonight, I do the show in his honor," she tweeted.
Then, Hudgens jumped into character as Betty Rizzo for "Grease: Live" and performed a show-stopping rendition of "There are Worse Things I Could Do."
At the end of the broadcast, the show aired a dedication to her father in the credits that read, "In loving memory of Greg Hudgens."
"Grease: Live" was a hit, topping NBC's "The Wiz Live!" in December, per the Hollywood Reporter.