You would see in the sky before dawn or before sunrise. The older the moon's phase gets, the lower it is in the sky.
Whatever moon phase you see, you'll see the same identical phase again 29.53 days later.
(Restating the question as "What phase of the Moon follows 'waning gibbous'?) The phase of the Moon which follows 'Waning Gibbous' is 'Last Quarter'. The Gibbous phases are the periods when the Moon is more than 50% illuminated. Waxing being the period when it is approaching Full, and Waning being the period after Full, but before 'Last Quarter'. See Wikipedia entry for "Lunar Phase"
Crescent.
The New Moon, First Quarter, Full Moon, and Third Quarter are moments in time, with no duration. The Waxing and Waning Crescents, and the Waxing and Waning Gibbous phases, each last roughly a week.
Two weeks after the waning gibbous phase of the moon you will see a new moon.
A waning Moon is one were it appears to be becoming smaller. From a full round full moon, to a last gibbous moon, to last quarter, to last crescent moon, the an New Moon. The corresponding increasing Moon is named a WAXING Moon.
You would have to wait until after the moon is full. Then, the moon is in its waning phase and you can see it!
1 or 2 days
(Restating the question as "What phase of the Moon follows 'waning gibbous'?) The phase of the Moon which follows 'Waning Gibbous' is 'Last Quarter'. The Gibbous phases are the periods when the Moon is more than 50% illuminated. Waxing being the period when it is approaching Full, and Waning being the period after Full, but before 'Last Quarter'. See Wikipedia entry for "Lunar Phase"
Crescent.
The New Moon, First Quarter, Full Moon, and Third Quarter are moments in time, with no duration. The Waxing and Waning Crescents, and the Waxing and Waning Gibbous phases, each last roughly a week.
Crescent, waning
Two weeks after the waning gibbous phase of the moon you will see a new moon.
The crescent phase.
About 3 days before the new moon, the Moon is a crescent in the eastern sky before dawn. The "before dawn" part is why people seldom see the "waning crescent" Moon.
A gibbous moon (waxing or waning) is when we can see morethan half of the moon's sunlit side when viewed from Earth, a gibbous moon has a sort of lemon shape. A crescent moon (waxing or waning) is when we can see less than half of the moon's sunlit side and it looks like a fingernail when viewed from Earth.
A waxing crescent is a phase of the moon that takes place after the new moon. From the Northern hemisphere, the "crescent" can be seen on the right side of the moon, while a waning crescent is seen on the left side.
New Moon (dark), Waxing Crescent, First Quarter, Waxing Gibbous, Full Moon, Waning Gibbous, Last Quarter, Waning Crescent. (then back to New)New MoonThis is when the moon is directly between the earth and the sun, so the lit side of the moon is facing away from the earth and it appears there is no moon because we only see the dark side. If the alignment of the Sun, moon and earth is good enough, then there is a chance for a solar eclipse to occur at this point.Waxing CrescentAs the moon begins to move slowly away from the sun, a small portion of the moon is illuminated in a crescent shape. At first it is just a sliver, and each night the sliver becomes a little larger until it reaches the first quarter.First QuarterWhen the moon reaches the `first quarter` one half of the moon is illuminated by the sun. This occurs about one week after a new moon. The moon has completed one quarter of its orbit around earth at this point, from the new moon position.Waxing GibbousAs the moon continues to orbit, more and more of the moon is illuminated. After several days, it reaches the opposite of the waxing crescent. Nearly all the moon is lit and just a small crescent is still dark.Full MoonOnce the moon reaches the midpoint in its monthly orbit, it is directly opposite the sun and fully illuminated. At this time, a lunar eclipse might occur, but only id the alignments are good enough.Waning GibbousAs the moon continues its orbit, it begins to develop a darkened crescent on one side. It begins as a small sliver and increases over several days until the three quarter moon.Last QuarterThe last quarter is where the moon begins to enter the final quarter of its orbit. The moon is once again half illuminated, but this time it is the opposite side to the first quarter that is lit.Waning CrescentFinally, the moon moves through its final phase back toward its original position directly between the earth and sun. It gets increasingly darker until finally there is just a small crescent shaped sliver of illumination.