Where has support for the front page gone?

Yes, since there is support for all pages (not only entity-based) in 7.x-2.x, there is no need in separate setting for the front page.
You need to enable path-based meta tags on the module settings page, and after that you'll see 'edit meta tags' tab on your home page

I cant se edit metatags on my front page, because i have got static frontpage and my frontpage has it own template file page--front.tpl. Is there any other way?

Your front page, like all other pages, has its path. To view/change it, visit admin/config/system/site-information.
If it is empty, then default front page (node) is used. In that case, visit admin/config/search/metatags_quick/path?path=node&lang=en to set front page meta tags.
If you have non default front page, replace "node" with path of your front page

Just a quick note...

Going to your path "admin/config/search/metatags_quick/path?path=node&lang=en" just took me to the beginning of the module configuration area.

Just so it's clear for others:

To get your default front page (ie "page--front.tpl.php") populated with meta tags with this module, you have to create a path entry called 'node' at admin/config/search/metatags_quick/path_based

My homepage is set to "home". I created a path based metatag entry for home. I don't anything in my html. What am I missing?

There looks like there is an issue with this not appearing on the homepage. I have done just as jacen6678 has done and if I'm logged in the description will be present, but it will not show if not logged in. Thus, this does no good for the purpose of Google gathering the proper information.

1. Please change issue status (or open separate issue) if you want to get some feedback.
I've almost missed this thread, because it's status is "closed".
2. You mentioned that your front page is set to "home". What is that? Is that a node, a panel, default front page?

Thank you Cablestein - setting the path to node solved my issue.