How do you create a curved sequence of vertices? I am trying to get the vertex that is highlighted and the two on it's left side and right side to be curved as seen with many of the ones done on the left. I have been manually doing it but I feel as though there should be an easier way to make more perfect curves.


I have tried using a bezel but when doing so it doesn't ever do anything.

I was also tried creating a path and then joining the two objects but that gave me the error "no mesh data to join"

How would I go about accomplishing this?
Since you are using a mesh object, select the single vertex and use Ctrl + B to start the bevel, and in the Operator Panel (F6 for popup) tick the option 'Vertex Only' and then increase the number of Segments to get a nice curve. 
Here I have completed this process on a simple plane with the face deleted so as to imitate your scenario.

After, you can turn on Proportional Edit with 'O' and use the MMB to increase/decrease influence and move the vertices around to shape them.