Terrify means to cause someone to feel very scared or frightened.
When we talk about terrorizing something, like a city or a place, it's not exactly the same as causing fear. When a person or thing terrifies a place, they're making people there live in constant fear of danger, usually caused by violence or crime. Think of a villain from a horror movie - their presence can terrify an entire town. But if you say "the new rollercoaster will terrify me", it means the ride is so scary, it'll make you feel frightened when you're on it.
To frighten greatly; to fill with terror.
