Someone who's paralyzed can't move. Some accidents and illnesses can cause paralyzed muscles, and some emotional traumas may make you feel paralyzed to move on with your life.
A car crash can leave a driver paralyzed, while a stroke might result in a paralyzed left arm and difficulty speaking. This adjective can also describe something (other than a person's body) that's halted or frozen, like a paralyzed subway system during a hurricane. You can also be figuratively paralyzed, by fear or indecision for example: "She stood, paralyzed, in the hallway, afraid to go in."