During the next week, we keep seeing more and more of the illuminated part of the Moon, and it is now called waxing gibbous (gibbous means “humped”).
Two weeks after the new moon, the moon is now halfway through its revolution, and now the illuminated half coincides with the one facing the Earth, so that we can see a full disk: we have a full moon. As mentioned above, at this time the Moon rises at the time the Sun sets, and it sets when the Sun rises. If the Moon happens to align exactly with the Earth and Sun, then we get a lunar eclipse.
From now on, until it becomes new again, the illuminated part of the Moon that we can see decreases, and we say it’s waning. The first week after full, it is called waning gibbous.
Three weeks after new, we again can see half of the illuminated part. This is usually called last quarter.
Finally, during the fourth week, the Moon is reduced to a thin sliver from us, sometimes called ➡️#DarkMoon