I don't know if this is going to work for you but sometimes the way to get 
the graph to display how you want it to is not to flip the data but to 
rotate the datatable created from the data.

This was written several years ago by Bhuman Soni - 
http://captaindanko.blogspot.com/2013/05/transpose-of-google-visualization-data.html
 with 
a working example at 
https://bitbucket.org/cptdanko/blog-code/src/0666cdce533db48cd89a4e2f02ef7e87a891c857/transpose.html?at=default

It was later shortened on stackoverflow - 
https://stackoverflow.com/questions/16949993/inverting-rows-and-columns-on-google-area-chart


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