it is called a waxing crescent
The waxing crescent is the first phase after the new moon.
The moon phase you are describing is the waxing crescent phase. During this phase, less than half of the moon is illuminated, and the visible portion is increasing as it progresses toward the first quarter phase. The illumination grows as the moon orbits the Earth, moving away from the new moon phase.
As the moon transitions from the new moon phase to the first quarter phase, the visible portion of its surface, or the illuminated part, increases. This is due to the moon's orbit around the Earth, which allows more sunlight to illuminate its surface. During this time, the crescent shape of the moon gradually expands, leading to a larger visible portion. Eventually, it will reach the first quarter phase, where half of the moon will be illuminated.
The moon was in first quarter phase when he walked on the moon, so it would have been visible in the USA.
New Moon Phase
New Moon Phase
The first quarter on the moon occurs when the moon is half illuminated, transitioning from a new moon to a full moon. This phase is also known as the waxing crescent phase, where the right half of the moon is visible from Earth.
Approximately one week after the new moon phase, the waxing crescent moon phase occurs. This phase is characterised by a small sliver of the moon becoming visible on the right side.
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New Moon
new moon
When over half of the moon is visible, it is called the "gibbous" phase. Specifically, it is referred to as "waxing gibbous" when the moon is increasing in illumination and "waning gibbous" when it is decreasing. This phase occurs after the first quarter and before the full moon.