Katy (13-3) opened this season with only two returning starters from its state championship team and lost its first two games, including 47-0 to The Woodlands.
But the Tigers won seven straight before losing in overtime to Cinco Ranch in the season finale, then won their first four playoff games by an average margin of 37.2 points per game.
"All of (the state championships) are satisfying," said Katy coach Gary Joseph, who was defensive coordinator on three of the titles and head coach the last two. "But this one is extra special because of where these kids came from and how hard they had to work.
"They deserve everything they got."
Offensive tackle Austin Sumrall said that this team had a lot of heart.
"After losing the first two games, we pulled together and had an amazing run. We overcame adversity and got great coaching," he said.
Wylie was led by quarterback Jerod Monk, who completed 17 of 38 passes for 166 yards. But he was intercepted three times and sacked four times.
"We knew we had to put pressure on him," said Carbajal, who was in on three sacks. "They have a tremendous offense."
Katy took a 3-0 lead Saturday on a 21-yard Raul Balbuena field goal with 4:35 to go in the first quarter. It was set up by a 40-yard run by Jeffrey, which brought Katy to the Wylie 18.
Wylie then drove to the Katy three early in the second quarter. But two plays later Monk was picked off by linebacker Caleb Chandler, who returned it 23 yards.
Late in the second quarter, Katy drove 52 yards to a 5-yard touchdown run by Michael Webber. The drive was highlighted by a 23-yard run by fullback Chris Roberson.
Katy opened up a 17-point lead in the third quarter by driving 86 yards in eight plays. Webber broke outside down the right sideline for 34 yards and the touchdown with 6:35 left in the period.
Wylie got a 31-yard field goal from Zac Ohannessian with 1:53 to play in the third quarter.