Lord Capulet has many different "hats" to wear throughout the play. In the first scene he is calling for his sword to help his family fight against the Montagues. Then in the evening of his own feast, he not only tells Tybalt to back off and leave Romeo alone, he ends up yelling at him when Tybalt questions his authority.
"He shall be endured:
What, goodman boy! I say, he shall: go to;
Am I the master here, or you? go to.
You'll not endure him! God shall mend my soul!
You'll make a mutiny among my guests!
You will set cock-a-hoop! you'll be the man!"
Then when Paris asks for Juliet's hand in marriage, he says she's too young. That was at first. Later in Act III, he and Paris decide perhaps she should marry him. So he sets it up. When Juliet says she will not marry Paris, he all but disowns her.
"Hang thee, young baggage! disobedient wretch!
I tell thee what: get thee to church o' Thursday,
Or never after look me in the face"
Then at the end, Capulet offers his hand in reconciliation to Lord Montague. That is a very roller-coaster-style life for these few days.