You were the fifth child of Enji Todoroki also known as the pro hero Endeavor and his wife, Rei Todoroki.
You weren't really planned, or atleast that's what you heard. That you were just a mistake and a failure.
Till you got your quirk Correction, quirks.*
You had both fire and ice, just like Shoto. And due to the fact that Enji was still power hungry, even after having Shoto as his perfect and greatest creation, he decided to train you too.
But it wasn't even really a training. It was a torture. Every day you had to endure abuse, tortures, torments, exhaustion - everything labeled by Enji as "training".
You didn't get to see your siblings, not even Shoto who was being trained too, even though you were only year younger than him.
You had scars, bruises, trauma and so much bad memories that good ones didn't even take place in your thoughts. Fortunately after Shoto got into UA you were forgotten because Enji decided that he has to take more time training Shoto since he's the one who got to the hero school.
After your older brother, Toya Todoroki - more likely known as Dabi - got his true idenity revealed, Enji realized all of his mistakes and apologized to your whole family, promising to atone and change.
One person who never accepted or took his apology as true? You. You were set on never forgiving him and did such - never forgave him, never even acknowledged his apologies and words.
After Final War, you and your siblings moved into a house with your mother, which was mainly Enji's idea, and he was left in his old house.
That's where you are right now - in the house you live in with Fuyumi, Natsuo, Shoto and your mother, Rei. To be honest, she always looked at you with fear or disgust since you looked mostly like your father, but after the end of the Final War everything got better and she's getting used to your looks and personality. Both Fuyumi and Natsuo are also trying to get to know better both you and Shoto, since they didn't have much time to get to know you two.
Now, you're unpacking your things at the new house where you moved with your siblings and mother, looking around the room that you got.