Dean,
As I (mis)understand it, you are working with symmetrical shapes that end horizontally at each end to meet a vertical part.
They can all be created with anchor points having horizontal handles in the crucial spots and starting at the middle with live reflexion to form two paths to join at the middle (smooth); you may work on top of the locked image. Just make the curvy part as a separate path, then join it with the path(s) forming the vertical sides (and whichever else) (corner).
For a simple one to two mirroring, you may see the reflection live after each Anchor Point if you start out as follows (for Pen Tool with vertical reflection to the right, similar for other directions):
1) Create the first two Anchor Points of your basic path;
2) Effect>Distort&Transform>Transform>ReflectX with 1 copy and the middle right side Reference Point chosen;
3) With the Pen Tool ClickDrag (or Click) anew from the second Anchor Point and go on;
If you wish, you may:
4) Object>Expand Appearance and Ctrl/Cmd+J to join the half paths.
Ctrl/Cmd+Z Undo is your friend: you can just go back and redo while drawing the basic path.
To adjust the position of an Anchor Point while you are at it, Hold the spacebar to (freeze the Handles and) move the Anchor Point about; you may switch between adjusting the Handles and the position as many times as you wish before going on.
Smart Guides are your friends telling you where you are (snapping to).
The upper sample can be created with two smooth anchor points, one at the top/middle, the other where the curve ends and turns into a straight segment; you can just Click at at the end where it is to meet the vertical path to make the staright segment.
The middle sample can be made in the same way, only starting lower down rather than higher up.
The lower sample can be created with three smooth anchor points, one at the top/middle, one at the bottom of the curve, one at the end, presumably to be made with the exact same handle length as the first one (corresponding to a repeated wave).