Boil a large pot of water. Boil the fettuccine to al dente.
Bring a large saucepan to medium heat. Add the butter to the pan and melt completely.
Add 1 cup of pasta water to the pan with the butter and combine.
Add the al dente pasta to the pan and toss well. The sauce should start to thicken as you toss the pasta with it. Keep some pasta water ready to add more if necessary.
Remove the pan from the heat and slowly stir in the cheese until thoroughly combined. Add more pasta water when necessary to make the sauce more creamy. If you notice the sauce getting too thick, add more pasta water.
Notes
Starchy pasta water is the key to authentic alfredo. Make sure to save extra pasta water to use.
Remove the pan from the heat when adding parmigiano cheese. If the pan is too hot, the cheese will stick to the pan.
Toss and stir the pasta quickly when adding the cheese. Add more pasta water if the sauce starts to thicken or stick to the pan.