Final answer:
Hamlet is contemptuous of his mother's swift remarriage, calling it incestuous. Horatio is present for King Hamlet's funeral and Claudius's coronation. Hamlet resolves to confront the ghost, which may reveal critical details but also poses risks.
Step-by-step explanation:
When Hamlet refers to his mother's marriage bed as “a bed of incest,” he expresses his disgust at his mother, Gertrude, for marrying Claudius, her deceased husband's brother, which Hamlet views as a form of incest due to their close familial relationship.
Horatio says he is in Denmark to attend King Hamlet's funeral and then the subsequent coronation of Claudius.
Hamlet's reasoning behind the swift marriage of his mother is that she was influenced by her sexual appetite and Claudius's ambition for the throne.
Hamlet reacts to hearing about his father's ghost with profound interest and agitation, seeing it as a duty to meet the apparition himself.
At the end of the scene, Hamlet decides to seek out the ghost. He is concerned because it may either bring important information about his deceased father or possibly lead him to madness or harm.