Cross Creek survived a frantic fourth quarter in which the teams combined to score 43 points.
The Razorbacks closed the third quarter on a 14-4 spree to lead by six heading into the final period. They never trailed from there even though Hephzibah four times sliced their lead to one possession, including to one point with 5.1 seconds left. Blake Bush (16 points) missed a 3-pointer from the right wing in the final seconds that would have forced overtime.
Sixth-seeded Hephzibah beat No. 3 Cross Creek three times during the regular season, twice in the region and once in a holiday tournament.
"They had our number the whole season," said Cross Creek coach Tracey Gamble.
"It means the world to us to make the state tournament, because we invested so much in this."