Transition zig zag line into straight line

[darkbloom3]

Is there a way to take a zig zag line and reduce the effect across the line such that the end is eventually straight - like a dampened sine wave?

Thanks

[Monika Gause · Accepted solution]

Create the wave as a pattern brush and then apply to the path together with a width profile in triangle shape.

[darkbloom3]

Thanks!

[Kurt Gold]

Another way with Zig Zag and Warp effect:

zig_zag_warp_001.ai.zip - Google Drive