"Strike first, strike hard, no mercy sir!"
Nobody could forget those words, especially Daniel. They are what the Cobra Kai are all about. However in the book the phase is slightly different.
Chapter 7, page 31
Daniel stared at the steamed dumplings on the plate before him at The Orient Express. With a chill, he remembered the words he had heard shouted in cadence that afternoon at the karate school he had visited, the Cobra Kai Dojo:
"What do we study?"
"The Way of the Fist!"
"And what is that Way?"
"Strike first. Strike hard!"
That was the way of the karate school where Daniel had thought he might train.
He remembered the "sensei" - the teacher, John Kreese. He was a dangerous looking man, with cold, piercing eyes - the sort of person who just looked like he'd strike first and strike hard.
The students followed Mr. Kreese with awesome precision in their solemn ritual practice. Daniel had watched from the visitor's gallery, waiting to speak to the sensei after class, hoping he could afford the lessons he wanted so badly.