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Graphing
I want to keep the data from the previous 3 refreshes and just add the current data (The report is scheduled to run once a week - so essentially one month of data). I want to plot this on a graph to ...
So if you are talking about refreshing a pbix file on Power BI Report Server - which is the on-prem install. Then this is not possible as data refreshes on that platform are always a full refresh so you would have to setup your data model to pull in the whole month at once.
If you are actually publishing you model to powerbi.com then you would still have to configure your model to pull in the whole data set, but you can use incremental refresh policies to limit the data that is refreshed so that it pulls in 7 days at a time and keeps a rolling 28 days. see https://docs.microsoft.com/en-us/power-bi/connect-data/incremental-refresh-overview