Final answer:
The correct option (b) is "Distributing power to the spark plugs." The ignition coil's task is to convert low voltage from the battery into high voltage to create a spark at the spark plugs, igniting the engine's fuel. It does not regulate fuel injection, cool the engine or filter engine oil.
Step-by-step explanation:
The task of an ignition coil is a crucial one in the context of a vehicle's engine. It is responsible for converting the battery's low voltage to the thousands of volts needed to create an electric spark in the spark plugs to ignite the fuel. If we look at the options given, the correct function that matches the role of an ignition coil is distributing power to the spark plugs. The other options, such as regulating fuel injection, cooling the engine, and filtering engine oil, are not tasks performed by the ignition coil. The ignition coil's primary purpose is to generate a high voltage from a low voltage supply, which is essential for the engine's combustion process. Essentially, an ignition coil acts somewhat like a transformer to step up the voltage.