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 Vertex of the Polinomial Fit

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Kilovictorpapa Posted - 06/19/2024 : 2:10:52 PM
Origin Ver. and Service Release (Select Help-->About Origin): 10.1(2024)
Operating System: Microsoft Windows

Hi! I'm currently new to origin,I was wondering if there was a way to extract the coordinates, and the relative error, of the vertex of the parabola that I've obtained via Polynomial Fitting of my data

Thank you in advance!

Kvp
2   L A T E S T    R E P L I E S    (Newest First)
Kilovictorpapa Posted - 06/22/2024 : 8:56:58 PM
Thank you so much Nicholas!

Kvp
NicholasSupport Posted - 06/19/2024 : 4:11:02 PM
Hello Kvp,

We will create Derived Parameters (h) and (k) based on the vertex of the parabola. I am attaching a project file we can use as an example.

https://my.originlab.com/ftp/forum_and_kbase/Images/VertexCoordinates.opju

Open VertexCoordinates.opju and activate Graph1. This is our input data.

In the Analysis menu, select Fitting: Non-Linear Curve Fit: <open dialog>.



Fit a parabola using the above settings (1) and (2), then click Edit Fitting Function (3).

Scroll all the way down to Derived Parameters and enter the following formulas for the vertex coordinates:
h=-B/(2*C)
k=-(B^2-4*C*A)/(4*C)




Click Fit to complete the parabolic fit, with vertex coordinates (h,k). The values can be found in the output table under "Parameters". Note the Standard Error next to it.





More information about Derived Parameters can be found here: https://www.originlab.com/doc/Tutorials/Fitting-AddDerivPara

Nicholas G.
nicholas@originlab.com
OriginLab Technical Support Team

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