Finding the equation of a curve with the givin points?

This has been bugging me for quite some time now, I have many uses for this, but that's off-topic.

How do I find out the equation of a curve using the givin points?

I have the points for the curve.

(1, 25)

(2, 40)

(3, 60)

(4, 85)

(5, 115)

(6, 150)

(7, 190)

(8, 235)

(9, 285)

(10, 340)

I should also mention that I just got into geometry (I'm on my freshman high school year) and my math is a little rough over the break. This is actually something I've been trying to figure out for me, not for the school or any homework. Well, technically homework because of work at home, but not for the school.

I should also mention that I've tried the methods at which I found while searching on how.

My answer was way off. Let's just leave it at that.

Thank you,

-Tyler W.