The moon rotates about its axis in the same direction as the Earth. If you are standing in the northern hemisphere (like Santa Barbara, or the North Pole), the Earth is rotating to the left. This means that it is rotating counterclockwise or from West to East.

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The moon rotates about the Earth from East to West, like the Sun. The moon’s orbit is a bit tilted, so in reality it rises slightly North/South of the East and sets lightly North/South of the West, depending on where it is in its cycle.

The moon actually rotates counterclockwise around the Earth. This means that if you were to stand at the North Pole on Earth and look at the moon, it would be rotating from west to east! The Earth and moon actually rotate in the same direction. As the moon completes its rotation about the earth in 27.5 days, it also completes one single rotation around its own axis. Because the moon rotates around its own axis, while also rotating around the earth, we only ever see one side of the moon, which is called the near side of the moon.

The moon rotates from west to east, the same as anything else (this is what east, west, north, and south mean).