*770*602The defendant, Donna Stubbs, appeals from the judgment of the trial court awarding her and the plaintiff, Pascal Baronio, joint legal custody of their minor child. On appeal, the defendant claims that the court: (1) "erred in presuming that shared physical custody was in the child's best interest where there was not an agreement by the defendant to an award of joint legal custody within the meaning of General Statutes § 46b-56a(b)"; and (2) "committed plain error by stating during pendente lite proceedings that it wanted to see an increase in the plaintiff's parenting time, and by indicating before it heard all the evidence at trial that it was inclined to award joint legal custody to the plaintiff." We affirm the judgment of the trial court.

*771The following facts and procedural history are relevant to our decision. The parties were involved in a relationship for approximately thirteen years and have one child together. The parties lived together until October, 2014, when the plaintiff moved out. The plaintiff filed an application for joint custody on December 1, 2014. The defendant filed an objection to the plaintiff's application on December 11, and an application for emergency ex parte order of custody on December 16. The court scheduled a hearing on January 8, 2015. On that date, the parties agreed upon a temporary parenting plan, which was made an order of the court. The parents' agreement permitted the plaintiff to see their child every Sunday from 9 a.m. to 6 p.m., to have telephone contact daily, and to see their child at school. On January 14, 2015, the plaintiff filed a motion for appointment of a guardian ad litem, which the court granted.

On February 11, 2015, the parties appeared before the court, Goodrow, J. The court heard testimony from both parties regarding, inter alia, the plaintiff's request for additional parenting time. The court found that it was in the best interest of their child to have overnights with the plaintiff, and ordered that the plaintiff have parenting time on alternating weekends from 10 a.m. on Saturday until 4 p.m. on Sunday. The parties were ordered to report back to the court on March 3, 2015, to address any concerns. On that date, the parents entered into a further agreement, and were again ordered to report back on March 31, 2015. On March 31, the plaintiff made a request for additional parenting time. Specifically, he requested parenting time with their child through Monday morning to bring their child to school on those weekends that he had overnight parenting time. Counsel for the defendant objected to the request as did the guardian ad litem, Attorney David Crow, citing the child's adjustment to a new environment in the plaintiff's home. The court denied the plaintiff's *772request without prejudice, ordered the parties to return in two weeks, and ordered the guardian ad litem to provide a report on that date. On April 14, 2015, the guardian ad litem recommended that the plaintiff's parenting time be increased to include Sunday night through Monday morning. The parents entered into an agreement, which the court adopted, that included this additional parenting time.

The parties next appeared before the court on September 11, 2015, for a contested hearing on the plaintiff's application for joint custody. The plaintiff filed with the court proposed orders in which he requested joint legal and shared physical custody. The defendant did not file proposed orders *603with the court. In addition to the testimony of the plaintiff and the defendant, the court also heard testimony from Susan Falato, an art therapist with Shoreline Wellness in West Haven, Cheryl Iannucci, a care coordinator for Beacon Health Options in Rocky Hill, Allyson Popel, the child's kindergarten teacher, and Attorney Crow. The court issued an oral decision on February 1, 2016, in which it ordered joint legal custody and shared physical custody, and further ordered the plaintiff's proposed parenting time. The parties subsequently agreed upon a parenting plan, which the court approved. This appeal followed.

I

We first address the defendant's claim that the court "misapplied the law governing awards of joint legal custody under General Statutes § 46b-56a." Specifically, she claims that the statute permits a presumption that joint custody is in the best interests of the child only if the parties have agreed to an award of joint custody. She claims that "the record was insufficient to support a finding that the defendant agreed to share joint legal custody" with the plaintiff, and thus, "there was no legal basis upon which the family court could presume, *773as it did, that shared physical custody was in the child's best interests." We disagree.

The following additional facts are relevant to this claim. On September 11, 2015, at the start of the contested hearing on custody, the plaintiff provided the court with proposed orders in which he requested joint legal and shared physical custody. Specifically, the plaintiff sought a biweekly custodial plan, pursuant to which he would have parenting time with their child from 10 a.m. Saturday through Wednesday morning on week one, and from 6 p.m. Sunday through Wednesday morning on week two. The defendant did not submit proposed orders to the court. When the court therefore inquired as to what the defendant was requesting, her counsel stated that "the status quo should be maintained. The present orders should be maintained." The court then inquired as to whether the defendant was objecting to joint legal custody, and her counsel replied that she was not.

During the testimony of Attorney Crow on the final day of the hearing, the court inquired as to whether he had "a recommendation as to custody, whether it should be joint or sole." Attorney Crow responded that he wanted to see joint legal custody, to which the court responded: "I do, too. Here's my concern, they don't seem to be able to communicate." Attorney Crow then expressed his opinion that the parties, despite a number of minor issues on both sides, had been working together. At the conclusion of evidence, the court heard argument from both parties. The court specifically requested that the parties address what they were asking the court to order and the statutory factors the court has to consider. The following colloquy occurred between the court, Attorney Christopher Hansen for the plaintiff, and Attorney Joseph DePaola for the defendant:

*774"The Court: [A]s I understand it, Attorney Hansen, you're asking for joint legal custody with a split fifty/fifty time split. Is that correct?

"[The Plaintiff's Counsel]: Not in-Judge, we are asking for shared physical, but it's actually about fifty-five/forty-five, the fifty-five being with the mother.

"The Court: All right. That's based on your last-what you put on the record when we began.

"[The Plaintiff's Counsel]: Yes. And it's ... in the proposed orders, Your Honor.

*604"The Court: And, Attorney DePaola, what is it, specifically, that you're asking for?

"[The Defendant's Counsel]: I'm asking for the current order to remain in effect, taking into account the [guardian ad litem's (GAL) ] suggestion that an additional evening be inserted.

"The Court: And joint legal custody?

"[The Defendant's Counsel]: Joint legal custody, primary physical residence with my client, final decision making authority with my client, and the current order is to remain in effect except for that extra day during the week that was suggested by Mr. Crow.

"The Court: How does the court entertain a join-your-you're-I infer you're also requesting joint custody-legal custody. Is that right?

"[The Defendant's Counsel]: Yeah, I thought I said that. Yeah.

"The Court: I'm sorry. I must have missed it.

"[The Defendant's Counsel]: I'm sorry.

"The Court: How-

"[The Defendant's Counsel]: Joint legal custody, primary physical residence with the defendant mother; defendant mother to have final decision making authority, current visitation schedule to remain in effect with *775an additional evening per the recommendation of the GAL.

"The Court: My question-and this is-I'm going to ask Attorney Hansen the same question, how does the court enter a joint legal custody order, particularly from your perspective, Attorney DePaola, where your client has said that she doesn't have the ability to communicate with the plaintiff father regarding important decisions?

"[The Defendant's Counsel]: Well, I-I think they've come a long way from where they started, Judge. I'm not sure that's a foregone conclusion at this point.

"The Court: Do you understand why that raises a concern for the court when your client [is] saying she can't communicate with the father?

"[The Defendant's Counsel]: I-I think it would be a concern, but in this case, I think in view of all of the circumstances and with the testing and the coparenting class that they're going to attend; I think they'll be able to overcome that."

The court, noting that it had considered the statutory factors in the evidence, ordered joint legal custody and further ordered the plaintiff's proposed parenting time. The court ordered the parties to agree on a schedule, which they did, and the court approved the parents' agreement.

We first note the well settled standard of review in family matters. "An appellate court will not disturb a trial court's orders in domestic relations cases unless the court has abused its discretion or it is found that it could not reasonably conclude as it did, based on the facts presented.... In determining whether a trial court has abused its broad discretion in domestic relations matters, we allow every reasonable presumption in favor of the correctness of its action.... Appellate *776review of a trial court's findings of fact is governed by the clearly erroneous standard of review. The trial court's findings are binding upon this court unless they are clearly erroneous in light of the evidence and the pleadings in the record as a whole.... A finding of fact is clearly erroneous when there is no evidence in the record to support it ... or when although there is evidence to support it, the reviewing court on the entire evidence is left with the definite and firm conviction that a mistake has been committed.... Therefore, to conclude that the trial court abused its discretion, *605we must find that the court either incorrectly applied the law or could not reasonably conclude as it did." (Internal quotation marks omitted.) Keenan v. Casillo , 149 Conn. App. 642, 644-45, 89 A.3d 912, cert. denied, 312 Conn. 910, 93 A.3d 594 (2014).1

"There shall be a presumption, affecting the burden of proof, that joint custody is in the best interests of a minor child where the parents have agreed to an award of joint custody or so agree in open court at a hearing for the purpose of determining the custody of the minor child ...." General Statutes § 46b-56a(b). "This section does not mandate joint custody; it only creates a presumption that joint custody would be in the best interests of a minor child under certain circumstances. It is still for the trial court to decide whether joint custody has been agreed to by the parties."

*777Timm v. Timm , 195 Conn. 202, 209, 487 A.2d 191 (1985). Whether the parties have agreed to such an award is a question for the trial court. See Emerick v. Emerick , 5 Conn. App. 649, 657, 502 A.2d 933 (1985), cert. dismissed, 200 Conn. 804, 510 A.2d 192 (1986).

On the basis of the record before it, the court in the present case reasonably could have concluded that the parties had agreed upon an award of joint legal custody.2 The defendant's counsel represented to the court at the start of the hearing that she did not object to joint legal custody. The defendant's counsel further represented to the court at the close of evidence that she was requesting joint legal custody. Moreover, the plaintiff had requested joint legal custody in his proposed orders, and the defendant did not file proposed orders. "[J]udicial review of a trial court's exercise of its broad discretion is limited to the questions of whether the court correctly applied the law and could reasonably *606have concluded as it did." (Internal quotation marks omitted.) Timm v. Timm , supra, 195 Conn. at 210, 487 A.2d 191. The *778court reasonably could have concluded, under the circumstances of this case, that a joint custody award was both agreed upon and was in the best interests of the child.3

II

We next address the defendant's claim that the court committed plain error because it "publicly committed itself, prior to the start of trial, to increasing the plaintiff's parenting time, and because the family court announced before hearing all of the evidence that it wanted to give joint legal custody of the child to the plaintiff." The defendant, who was represented by counsel throughout the custody proceedings, did not file a motion for disqualification pursuant to Practice Book § 1-23, nor did she file a motion for a mistrial. Conceding that "ordinarily the Appellate Court will not review a claim of judicial bias unless the claim was properly presented to the trial court through a motion for mistrial," the defendant requests review under the plain error doctrine. We conclude that the court did not commit plain error.

We first note that "[o]ur Supreme Court has criticized the practice whereby an attorney, cognizant of circumstances giving rise to an objection before or during trial, waits until after an unfavorable judgment to raise the *779issue. We have made it clear that we will not permit parties to anticipate a favorable decision, reserving a right to impeach it or set it aside if it happens to be against them, for a cause which was well known to them before or during the trial." (Internal quotation marks omitted.) Weyher v. Weyher , 164 Conn. App. 734, 749, 138 A.3d 969 (2016). Nevertheless, "[b]ecause an accusation of judicial bias or prejudice strikes at the very core of judicial integrity and tends to undermine public confidence in the established judiciary," this court has reviewed unpreserved judicial bias claims under the plain error doctrine. (Internal quotation marks omitted.) Id., at 749-50, 138 A.3d 969. "Plain error exists only in truly extraordinary situations where the existence of the error is so obvious that it affects the fairness and integrity of and public confidence in the judicial proceedings." (Internal quotation marks omitted.) Id., at 750, 138 A.3d 969.

The defendant claims that the court expressed "preconceived inclination[s]" to grant the plaintiff's request for additional parenting time, and later, shared custody, on two occasions, February 11 and March 31, 2015. She further claims that the "taint of predetermination" was evident in "the manner in which the court permitted the plaintiff's case to be presented."

Specifically, the defendant first claims that the court interrupted her testimony during the February 11 hearing to admonish *607her.4 She states that when asked why *780she thought it was in the child's best interest not to have overnight visits with the plaintiff, the defendant explained that she was the child's sole caretaker and that she had taken the child to all of his doctor's appointments. The court then stated: "this actually isn't about you" and further stated "[i]t's about your son." The court told the defendant that although it did not consider the plaintiff's request unreasonable, if the defendant thought it was not in the child's best interest, the court wanted to know about that. The defendant claims that the court interrupted her testimony a second time to permit the plaintiff to ameliorate concerns raised by the defendant about access to inappropriate material on television.5 Next, she points to the court's oral decision *781granting the plaintiff's request for additional parenting time, in which the court stated: "The court finds that it is in the best interest of the child to have overnights with his father.... [T]his order and decision does not take away at all from the hard work that mother's been doing, but I feel strongly father should have the opportunity to have overnights and child should have the opportunity to be with father."

The defendant also claims that the court "reinforced" the appearance of a predetermined inclination to grant the plaintiff's request for shared custody on March 31, *6082015, when it ordered the parties to return in two weeks, ordered the guardian ad litem to provide a report on that date, and stated that it "intend[ed] to extend father's parenting time." Lastly, the defendant suggests that the court erred in remarking, during Attorney Crow's testimony on February 1, 2016, that it too wanted to see joint legal custody prior to the defendant concluding her rebuttal evidence.

Our thorough review of the transcripts of the hearings does not reveal any apparent bias or predetermination against the defendant or in favor of the plaintiff. Although the court may have interrupted the defendant's testimony, we conclude that it was apparent that the court was attempting to keep the testimony focused on pertinent evidence.6 See Wiegand v. Wiegand , 129 Conn. App. 526, 535, 21 A.3d 489 (2011) (although the *782court, at times, "demonstrated some frustration and impatience with the plaintiff," the court's statements were "impartial and were meant to keep the plaintiff focused on relevant evidence that properly could be considered by the court"); Giordano v. Giordano , 9 Conn. App. 641, 644, 520 A.2d 1290 (1987) (rejecting defendant's claim that the court, inter alia, "had a preconceived opinion which raise[d] questions about the impartiality of the proceeding" where defendant's claim was based on "a few comments carefully culled from the course of the entire trial"). The court's statement regarding the plaintiff's opportunity to have overnight parenting time was made at the conclusion of the hearing after both parties had testified, and the statement immediately followed the court's finding that overnights were in the best interest of the child.7 Lastly, we find no error in the court's agreement with Attorney Crow that it wanted to see joint legal custody, where joint legal custody was consistent with the parties' requests at the beginning of the hearing. See part I of this opinion. Because we find no merit to the defendant's claim of judicial impropriety, the defendant has failed to demonstrate the existence of plain error.

The judgment is affirmed.

In this opinion the other judges concurred.