Before the 1988 NFL season , the team moved to Tempe , Arizona , an eastern suburb of Phoenix .
Before the 1988 NFL season , the team played their home games for the next 18 years at Arizona State University 's Sun Devil Stadium .
Before the 1988 NFL season , the team moved to Tempe , Arizona , an eastern suburb of Phoenix , and played their home games for the next 18 years at Arizona State University 's Sun Devil Stadium .