I am a math grad student and these days I am writing my thesis using $\LaTeX$. I have to use few 2D graphs that contain curves and shaded regions with few labeling. Can anybody please recommend me a user friendly free software that I can use to draw my figures?
I’d look into Tikz, which is a package for LaTeX. It’s fairly intuitive if you’ve used LaTeX before and I think (based on your description) it’s good for what you’re going for.
Here’s a link to an Overleaf page describing some of its basic functionality:
There’s obviously more you can do with it (I recently used it/an extension of it to draw circuits for a Laplace transform paper I wrote), so you can do some more googling to find what you think you need out of it. Good luck!