How do I move a task from one task list to another?

How do I move a task from one task list to another?

According to the documentation, there should be a "Move Task link" but I see no such link.
I have seen other posts indicating that only administrators or task assignees can move tasks. In this case I am both the administrator and the task owner.

The only links that I have are:
Add Task
Copy Task
Reorder
Make a Task Template