The window will always open at the same position. Moving the Brackets window to a different position, quit Brackets and reopen will show the window at the initial position.
I don't know how the initial position is determined, but it looks rather odd where the window gets placed (see screenshot with position after launching Brackets)

The window will always open at the same position. Moving the Brackets window to a different position, quit Brackets and reopen will show the window at the initial position.
I don't know how the initial position is determined, but it looks rather odd where the window gets placed (see screenshot with position after launching Brackets)