A red light with a green arrow means:

When you see a red light accompanied by a green arrow, it indicates that while the traffic signal is red for most vehicles, you have the special permission to proceed in the direction of the green arrow. This signal is designed to allow specific movements, such as turning left or right, while maintaining a stop for through traffic. It is essential, however, to do so cautiously, making sure to yield to any oncoming traffic or pedestrians before completing your turn.

The other choices do not accurately reflect the meaning of the red light with a green arrow. For instance, stopping until the light turns green would apply to a regular red light without an arrow, and yielding to all vehicles does not account for the specific permission implied by the green arrow. Turning left while others must stop is misleading because it doesn't fully convey the need for caution as indicated by the red light. Therefore, the correct interpretation is to proceed cautiously in the direction of the green arrow as an exception to the red light.