Attenuated is an adjective that describes something that has faded or weakened. Your anger at the cat who knocked over his litter box was attenuated when he sat in your lap and started to purr.
Attenuate is a verb that means something has been made thin or less, at which point it can be described as attenuated. A strong drink might be attenuated once water or ice has been poured into it. Similarly, the sound of your neighbor's party will become attenuated if you just shut your window and put in your ear plugs.