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This question already has an answer here:

I'm trying to create a warped space curve like examples here. Any ideas? I can't seem to get my plane to dip.

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marked as duplicate by Duarte Farrajota Ramos Jul 2 at 10:46

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I think what you need is proportional editing. If it is activated, Moving the central vertex down will pull surrounding vertices also, while using the chosen proportional editing falloff setting.

More Complicated ideas:

  • In the offchance that you actually want to generate a mathematically precise surface, you should look at the Extra Objects addon and Add a Mesh-> Math function.
  • There are also many many other alternative Solutions that might be useful for different applications, such as the Displacement modifier or maybe even a Force field acting on a soft body by physics animation....
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