important + to + someone
Spending time with family is important to me.

important + to + something
User feedback is important to the process.

important + to + base form
It is important to keep a backup of your data

important + for + noun
Diet and exercise are important for health.

important + for + noun + to + base form
It is important for children to get a good education.

important + in + -ing form
Support is important in helping people deal with serious illness.

important + that + clause
It’s very important that you understand the risks involved.