"Invert" [parabola] graph mapper result without touching its vertex

Hello everyone,

I have another forever-rookie question.

I am moving some point groups and I am using the GraphMapper with a parabola function to affect this translation. I need the points to move in ‘the opposite’ way - not sure that translates right away, so see below.

As we know the default parabola shows up like this:

image

I only wish to play with the ‘intercept’ point:

image

But not the vertex at the center of the graph. That one stays.

Hence, when I do so, the points move accordingly, taking on the shape of the graph, as expected:

Great.

HOWEVER I want the points to move this way:


First/Last points don’t move as much, only middle points move away - that is what I need. Super simple, right? So I thought, and I am sure it is, however I obviously have no brains.

I know I can manually adjust the vertex of the parabola within the graph mapper, however that’s not accurate because the parabola symmetry axis will move as well, even a tiny bit, when adjusting the vertex - not 100% sure the graph mapper has trustworthy snapping?

Am I approaching this wrong? Should I use the bezier graph instead where I can ‘lock’ those start and end points? But then if do, I still have trust issues with the symmetry for the middle points:

image

I guess the gaussian option can help as long as I don’t slide the mid points too much:

image

Simple boring file just in case, apologies for wasting your time:
parabola.gh (11.6 KB)

I think that you can do that using a function and not directly the graph mapper so you can control the function as you want.
Hopefully this is the solution that you are looking for:
image

Here’s also the gh file:
parabola.gh (11.2 KB)

1 Like

Thank you @Paolo_Colombo, this helps me understand things better - however I wish to be more ‘strict’ with those end points as I tweak the function or graph. Nonetheless at the same time I’m not sure my question makes much sense because the end points will move eventually when using a parabola. I should probably bypass being ‘fancy’ with the translation of these points and just move them while restricting first and last…'thought it’d be playful with the graph mapper.