Explanation (noun) - details or reasons given to make sth clear or easy to understand.
- Could you please give us a quick explanation of how this machine works?
- What was Randy's explanation for not attending the party?
- William had no explanation for being late today.
Explanatory (adj) - to help make sth clear or understandable.
- The explanatory notes below the diagram definitely helped me understand the lesson better.
- Please include some explanatory words at the bottom of every chart in your report.