MEMPHIS (AP) — A Memphis man was convicted Saturday of three counts of first-degree murder in the fatal shootings of his girlfriend and her parents more than two years ago.Sedrick Clayton, 31, had been charged with connection with the deaths of his girlfriend, 23-year-old Pashea Fisher and her parents following an argument at their home in January 2012.Prosecutors have said they will seek the death penalty.Before the trial, Sedrick Clayton offered to plead guilty in return for serving three consecutive life sentences. Shelby County District Attorney Amy Weirich rejected the offer.Authorities say Clayton got into an argument with Fisher before shooting her parents, Arithio and Patricia Fisher, and then her.Police say Clayton’s 4-year-old daughter was in the house at the time, and that he took her with him before turning himself in hours after the shooting. The girl, now 6 years old, was a key witness at the trial.