You can read the full description of the badges here.
A well received question has a positive score, isn't closed and isn't deleted.
In order to maintain a positive question record:
- For every question with a score of 0 or worse, you need to have a well received question.
- For every closed question of yours, you need to have a well received question.
- For every deleted question of yours, you need to have a well received question.
To be clear, if your question is non-positively scored, closed and deleted then you need three well-received questions to make up for it.
In order to count for the "well-received question on X separate days" criterion, you need to ask at least one well-received question and no non-well-received question on X separate days.