Different functions from a triangle

I have a triangle with base ‘2b’ and height ‘h’ as shown in the attached figure (a). I would like to construct two different functions as shown in (b) and © keeping the height and base the same. Any hint will be of great help to me.[ATTACH=CONFIG]684[/ATTACH]

The best I can think of is to use vertices of your triangle to be the control points of a degree two beziur curve for each of the intended sides.

Have you found a satisfactory solution to your problem yet?