Final answer:
The stars' motion matches option e, which states that the stars are moving along the horizon to the left.
Step-by-step explanation:
The description of the stars' motion that matches what you see when you increase the time speed and drag in the window to view different directions is option e. The stars are moving along the horizon direction to the left
When the stars appear to move along the horizon, it is due to the rotation of the Earth. As the Earth rotates from west to east, the stars appear to move from east to west along the horizon. Therefore, when you increase the time speed and observe the stars, you will see them moving along the horizon to the left.