Did I create child theme correctly?

[HatlerRyan]

I'm incredibly new to anything code and backend development, and want to clarify before moving to far ahead. If this is the wrong place for that, just delete or tell me and I'll find the correct spot.

I've created a child theme, purely with a style.css and this is what's in it:
/*
Theme Name: frost Child
Theme URI: https://frostwp.com/
Description: frost child theme
Author: WP Engine
Author URI: https://wpengine.com/
Template: frost
Version: 1.0.9
Text Domain: frost
*/

Wordpress child theme documentation says I don't need to do anything else, and it appears to be working. However, a ton of other sites are saying to create a function.php file as well, but when I do that, things get wonky.