The correct response is: waxing crescent occurs during the second quarter waning gibbous occurs during the third quarter.
To clarify, a waxing crescent moon is the phase just after the new moon and occurs in the second quarter of the lunar cycle as the moon begins to grow in illumination. A waning gibbous moon occurs in the third quarter of the lunar cycle when the moon is transitioning from full to new, and it is less than fully illuminated.