Different ways of seeing the moon from the earth
Could be anything, the two phenomena are not connected. If you meant, what is the phase of the moon when it is at its highest point at sunrise, the answer is it is approximately at 3rd quarter, a half moon facing east.
New Moon.
The phase of the Moon that comes immediately before the new Moon phase is the waning crescent phase.
A waxing Moon can be seen when the Moon is larger in the sky, and is moving from the new Moon phase, and into the full Moon phase. A waning Moon is seen when the Moon is visibly smaller in the sky, and is moving from the full Moon phase, and into the new Moon phase.
The phase of the Moon that occurs when it is three-quarters full just before the full Moon phase is the waxing gibbous phase. This phase occurs as the Moon is waxing, or growing larger, towards the full Moon.
New Moon Phase
In the new Moon phase.
New Moon Phase
The term crescent moon refers to one of the phases of the moon. The Earth's shadow partly blocks the Sun's light from illuminating the face of the Moon at different times the month. The crescent Moon describes the sickle shape of light that is formed when most of the Moon is in shadow.
The moon will be in its first quarter phase a week from tonight after the new moon phase.
The waxing crescent is the first phase after the new moon.
I am unable to provide real-time information about the current moon phase. You can check the moon phase for today using a moon phase calendar or a moon phase app on your phone.