Pass filter parameters when embedding reports

It's extremely useful to be able to embed reports in my company's intranet site. This makes it easy for anyone to see our product plans and release dates. However, it is a diverse product plan, and most people in the company have interest in just a subset of the planned releases.

Today, to serve the different interested teams, I need to create several copies of the same report, set the filters to the area of interest and save the report that way. It works, but when I need to change a column in the report or some other core change, i need to go to every single report copy and make the exact same change.

Ideally, I could create one core report, and when I embed the link to the report in external sites, I could pass in a filter parameter in the query string. This way I can have different embedding for the different teams, but any changes to the core report are made once and reflected for all the different filtered views.