Rotate a parable in XY Graph

[Whifitws]

Hello!I have a parable on an xy axis, how can I make it rotate around the origin of the coordinate system or around the tip?
How do I do the same thing with moving a sphere on the parabola, from one end to the other, and how can I change the speed of movement?

[GerdW]

Hi Whifitws,

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@Whifitws wrote:

I have a parable on an xy axis, how can I make it rotate around the origin of the coordinate system or around the tip?

Well, in your VI there is no plot when I run it - you forgot to set some useful default values…

On the rotation: as a student you should have heard about complex numbers before and how they are visualized on a XY plane. You should also know about conversion between Re/Im and r/theta representation: convert your XY coordinates to complex numbers, then change their representation to r/theta, then simply apply basic complex math by changing theta to "rotate" around a certain point in your XY plane…

(LabVIEW perfectly handles complex numbers, even in XY graphs, and supports you by functions dedicated to complex numbers!)

[altenbach]

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@GerdW wrote:

then simply apply basic complex math by changing theta to "rotate" around a certain point in your XY plane…

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Or just multiply with a complex number (r=scale, theta=angle). Also make sure to not autoscale the axes and size the xy graph so the x and y scales have the same range and length (i.e. square gridpoints) to avoid distortions.

(To rotate about an arbitrary point, flank the code with an subtract/add of the center RE/IM complex point. Not shown)

[altenbach]

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@altenbach wrote:
(To rotate about an arbitrary point, flank the code with an subtract/add of the center RE/IM complex point. Not shown)

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