Formal:
* Affected: Impacted or changed.
* Shaped: Molded or formed.
* Determined: Decided or controlled.
* Impacted: Had a significant effect on.
* Motivated: Inspired or driven.
* Guided: Directed or led.
Informal:
* Swayed: Persuaded or moved.
* Inspired: Motivated or encouraged.
* Impressed: Made a strong positive impression.
* Convinced: Persuaded or made to believe.
* Inspired: Given ideas or motivation.
More specific:
* Persuaded: Convinced or motivated to do something.
* Manipulated: Controlled or influenced unfairly.
* Coerced: Forced or pressured to do something.
* Induced: Caused or brought about.
* Prompted: Triggered or encouraged.
The best synonym will depend on the context of your sentence.