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
Vertex of the Polinomial Fit
Posted - 06/19/2024 : 2:10:52 PM
