Optimus gets complex quick. You’ll be reading pci bus ids before you know it. Keep the wiki open, go slowly; you got this :)

Indeed, since it's a laptop. It uses the iGPU for battery saving graphics and the Nvidia dGPU for performance. That's hybrid graphics / optimus.

That said, Nvidia is a pain. I always recommend distrohopping until you land on a distro that mostly works for your use case and go from there.

Why do you think Optimus is what you need? I run Arch with a 1050 and all I did was install the nvidia package and reboot.
Have you already tried that and run into issues?

this pakage unfortunatley didn´t work

Well, what happened? How didn't it work? Were there error messages?

pacman -Syu nvidia
reboot

According to the linked wiki, try to go to https://nouveau.freedesktop.org/CodeNames.html.

Check on your laptop with dmesg | grep -i chipset the codename of your graphic card. With this you can check which driver is the best on https://wiki.archlinux.org/title/NVIDIA. There is a paragraph, explaining which driver is the best.

If I understand it right, the nvidia package is the correct one for 1050. So you can use pacman -S nvidia with root privileges. All dependencies should be resolved automatically.

I would recommend to reboot, in case there are changed kernel modules.

2 things i have to note: Using Wayland is a total mess with nvidia. Specially on Arch Linux. I have screen flickering in GUI and games, the performance is so lala and tools like KeePass which needs access to the text in window titles did not work complete. On Manjaro, the flickering doesn't exist, but the other symptoms do. Maybe im missing some packages on Arch.

Second with Vulkan i have some tearing in games. I have not looked further in to that.

On the other hand, games like Satisfactory or Elder Scrolls Online, have more FPS with the same settings as on Windows.

Currently i test Arch and Manjaro in parallel on the same Laptop. But I tend to keep Manjaro and remove Arch. There are light pro's and con's, but overall, I'm more happy with Manjaro. But this has nothing to do with you're issue.