Question

Does the moons shape change due to the location of the person or the day ?

Answer 1

Answer:

Bottom line: The whole Earth sees the same moon phase on the same day, but the Northern and Southern Hemispheres see the moon oriented differently with respect to the horizon. The moon itself shifts its orientation with respect to your horizon as it moves across your sky.

Answer 2

Answer:

Yes, Due to earth's rotation we observe that it changes it's shape but not in real it is as original.