This is a follow on post from my last post about starting with PySpark and Databricks.
Here is a link to a table I have made of commonly required DataFrame operations. It includes the syntax for both Pandas and PySpark side by side.
Some of the basic commands are similar to pandas so familiarity will be useful while others are rather different. Note that this is for PySpark 2.4 onwards. I cannot speak to compatibility prior to that. I hope that you find this useful. If you have suggestions for additional basic commands to add to the cheatsheet, please add a comment or get in contact.
You may also want to look at the Datacamp cheat sheet which covers similar ground.