Go ahead an apologise to him, your apologising and making a reconciliatory gesture doesn't diminish you in any way.
Also when you make your apology do it with the thought that perhaps your father may not accept the apology immediately, pehaps he may berate you further, but if this happens lower your gaze and remain patient.
I've always done this with my parents and elders and Allah has bestowed so much love upon me, my parents and family treat me with a lot of love (now) and people who dislike me are grudgingly respectful as I don't lash out in anger (altho I want to), which eliminates any spur of the moment action or word being said which I would regret greatly later on. It also means arguemnts don't escalate, nobody can argue or yell at someone who is not rising tothe bait, also lower your gaze so you are not glaring at your father, becasue that wont help either.
I am however deeply worried your father is beating you, he is not supposed to do that when you are older. If you are in a situation where your father is really losing his temper you may want to remove yourself from the situation, altho if you hold your tongue and dont bite back your dad may not lose his temper so completely.
I'ts not easy bringing up children.
Say Bismillah, and apoplogise.