Bezier path - looks jagged? - how to make more points?

Hi Guys,

I have been having some trouble with a trying to add more path points on a simple bezier curve.

I have made the animation quite quick between two points with a bend in direction at the centre. but all | want to do is make the path on the right hand side more rounded with more points?

Is is because my speed is too fast between keyframes and my speed curves are too extreme?

Any help would be appreciated - thank you.