Way how to resize Linux partition

Thanks for the hint.
Unfortunately i don’t really understand what this is about.
I could try an

sudo lvextend -r -l +100%FREE /dev/fedora/home

Whilst i need to figure out what it really does.

I also found this post which seemed interesting: https://discussion.fedoraproject.org/t/can-i-resize-the-root-volume/76326

But still i am not really sure, what everything does. Everything seems a little bit more complicated than i thought.