I have followed this tutorial: Top-Down Scrolling Background(from scrirra tutorials)
Besides using his set Y to sprite Background, is there any other ways to do continuous scrolling background??
It depends on what you're trying to do. The most flexibile way I feel is to use a tiled background and use modulus to keep it wrapping. You still have to use 'Set Y', but I don't know if you can avoid that. Here's an example that wraps on all 4 sides with two events. You can replace the tiled background with any image of any size and it'll still work with the same events. Hope this helps.
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best, thanks
you will learn more from this tuto
https://www.scirra.com/tutorials/823/creating-function