Goals from Marcus Tavernier and Eli Junior Kroupi lifted the Cherries to second in the table and deepened Forest's winless league streak to eight games.
Reflecting on the result, Iraola said his players had learned from recent lessons. "We used well the experience from last week," he told the Daily Echo. "We were 2-0 up against Crystal Palace and lost focus.
"Today, everyone was very vocal at half-time. The first half was excellent, and while the second wasn't as exciting or brilliant, it was exactly what we needed."
Bournemouth started strongly and were rewarded midway through the first half when Tavernier's corner deceived goalkeeper Matz Sels and curled straight into the net. Forest manager Sean Dyche was left frustrated after replays suggested the ball might have gone out of play before crossing the line.
The hosts doubled their lead just before half-time through teenage forward Kroupi, who fired home from distance to continue his fine scoring form, his third goal in three matches across all competitions.
Forest improved after the break, with Morgan Gibbs-White attempting to inspire a comeback, but Dorde Petrovic produced a superb late save to preserve Bournemouth's clean sheet.
With club owner Bill Foley watching from the stands, reports have suggested he is keen to open talks over a new deal for Iraola.
The Spaniard, however, remained calm about his contract situation. "We have a really good relationship," he said. "Even when he's not here, we talk a lot. There will be time to discuss things, but it's still early in the season."
Iraola's Bournemouth are now eyeing a European push with a testing trip to Manchester City on November 2 next up, while Dyche's Forest continue to slide and host Manchester United on November 1 in a bid for their first league win since the opening weekend.
Liverpool FC have confirmed that Arne Slot has left his role as head coach with immediate effect, with the club now beginning the process of appointing a successor.
Raheem Sterling has been arrested following a motorway incident after his Lamborghini collided with barriers on the M3, adding to a difficult period for the former England forward.
Paris Saint-Germain forward Ousmane Dembele has made it clear that his side are determined to add more silverware to their growing collection as they prepare for Saturday's UEFA Champions League final against Arsenal in Budapest.
Barcelona's aggressive start to the transfer window is continuing, with Bernardo Silva now emerging as another major target for the Catalan giants.
