How to vary the thickness of a Bezier curve?

I made a Bezier tube to add to my teapot model and I want to have some parts of it thicker than the others. I also want to make the edge of the tube bifurcate to match with the picture. I would appreciate some help. Thank you.

you could also add a curve as a taper object -

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Alt-S is the hotkey for changing radius at a control vertex, but that’s going from what it was in classic Blender. (Not sure if it’s changed in new Blender.)

Alt+S is still the case in 2.80 thankfully :slight_smile:

I used this and it worked. Thanks everyone.