Career
He played as a left winger. Graham began his career with Aberdeen in 1969 and played in five league matches during his first season with the club Despite limited league appearances, he was given a place in the starting line-up for the Scottish Cup Final against Celtic by manager Eddie Turnbull.
Aberdeen defeated Celtic 3–1 with 17-year-old Graham making two assists via left-wing crosses.
He remained at Aberdeen until July 1977, winning the Scottish League Cup in his final season. He joined Leeds United for £125,000 at the start of the 1977-1978 season.
He scored a total of 47 goals in 260 appearances for Leeds over six seasons, including a hat-trick against Birmingham on 14 January 1978 - the first hat-trick to be scored by a Leeds United player in any competition for nearly five years. However, Leeds United were relegated to the Second Division in the 1981-1982 season and failed to regain their status in the top division in 1982-1983.
Graham was subsequently sold to Manchester United for £50,000 in August 1983.
He remained at Old Trafford for two seasons, scoring five goals in 37 appearances before finishing his career at Bradford City where he remained until 1987. He scored twice at international level, against Argentina and Northern Ireland – both in 1979. Graham now coaches youngsters at the Leeds United Academy and at football schools in the Wetherby area.