Are you asking about the Normal Quantile Plot command in the Distribution platform menu?
Yes. What is its formula? Does it transform any skewed distribution to a normal distribution?
A Normal Quantile Plot does not perform a transformation to normal, rather, it provides a visual picture to help determine if a distribution is normal. The plot and the statistical details are all available in the Help screens provided with JMP. The easy way to access the Help for anything being displayed in JMP, is to use the "?" tool from the Tool Bar
and then just move the "?" to the graph or table of interest and click on it, it will display the JMP Help for that object.
Note: at the bottom of the Help screen, there is a link to the Statistical Details.
The "Save==>Normal Quantiles", just saves the values from the Normal Quantile plot,
which can be seen as just the data values from the Normal Quantile plot. If you are looking for transforming to a Normal Distribution from a Non Normal distribution, you need to look into the
Continuous Fit ==>All
and then from the analysis of which distribution is determined as the best fitting distribution, choose a transformation to transform to Normal.