All controllers related to auth are in /app/Http/Controllers/Auth. You're looking for the RegisterController. You'll see that controller is using a Trait called RegistersUsers. In that trait, you'll find a method called showRegistrationForm().
public function showRegistrationForm()
{
return view('auth.register');
}
So what you'd do is copy that method into the RegisterController, and alter it how you need. It will then use yours instead of the default one in the trait.