Here's how they differ:
* Bad is a general term for something undesirable or of poor quality.
* Wretched implies a state of extreme distress or hardship, often accompanied by feelings of despair or hopelessness.
For example:
* Bad: "The movie was bad."
* Wretched: "The living conditions in the refugee camp were wretched."
So, while both words describe something negative, "wretched" paints a much more vivid and sorrowful picture.