Can I use a part of figure in my published paper to supplementary information of new paper?
If you think of it as reusing an old figure you avoid self plagiarism simply by citing the original. Perhaps the citation includes "Adapted from...".

But, in changing the scale you might also think of it as a new figure, even if it has the same "shape". Does it convey new information or just restate the old information. You might want to cite the old anyway, just to make things easier for readers needing to go to the old paper. 

But, you have an additional issue. If you gave up copyright to the publisher of the old article, you probably need to obtain permission to use the figure in any case (unless it is truly "new"). I doubt that any reputable publisher would deny you permission, but you need to ask to reuse even your own work if you don't hold copyright to it (US perspective - laws vary).