During which moon phase is most of the moon visible several days after the half moon?

The correct choice is identified accurately as the gibbous moon phase because during this time, the moon is more than half illuminated but not yet full. This phase occurs after the first quarter, where one half of the moon is visible, and extends until just before the full moon.

Several days after the half moon, the moon continues to wax, meaning it gains light and appears more substantial in size as it approaches a full moon. During this waxing gibbous stage, the surface area of the moon that reflects sunlight becomes increasingly visible, hence, creating the context where most of the moon can be seen.

In contrast to this, the new moon phase presents the moon fully in shadow, rendering it invisible from Earth. Following the new moon, the waxing crescent and then the first quarter phases precede the gibbous moon, where less than half and exact half of the moon is visible, respectively. After the gibbous phase, the full moon is reached, where the entirety of the moon's face is illuminated, but this phase does not occur several days after the half moon; instead, it takes place afterward. Therefore, the timing and characteristics of the gibbous moon make it the correct answer, as it represents the phase