Q: Yosemite graphics problem?

Interestingly too, I don't always get these issues either, they are random. One day/ minute I can visit Facebook and such, and all is fine, the next time I may get these weird graphics issues, but only within the browser. I will try un-ticking automatic graphics switching, I feel my MacBook Pro's battery life isn't all it is supposed to be, and apparently unpicking automatic graphics switching is supposed to make it worse.

same issues on my MacBook Pro (Retina, 15-inch, Mid 2014). i have eliminated all possible software issues. this is definitely a hardware fualt

It's possible it is hardware, but for me I spoke to Apple over the phone multiple times recently about this, and they said it is definitely software for me. I thought maybe it was hardware, at first too. I especially thought this with the new repair memo the sent out not long ago for 2011 to 2013 MacBook Pro's. They said from the info. they gathered from me and the symptoms, it was not hardware apparently. They said these graphics artifacts would have had to have been like whole waves taking up the whole screen and such to be hardware, not just sporadic little glitches here and there. Link: http://www.apple.com/support/macbookpro-videoissues/

What did Apple suggest that you do regarding the software issues...anything?

They suggested that I totally wipe everything off of my Mac and reinstall Yosemite. They also said they felt my Time Machine backups are corrupted and not to migrate my data back over, but manually pul info. over from it. I did a little of that, but mostly just went to each site and the Mac App Store to get my info. and data back and such. So for example I have Firefox, Opera, and Chrome also installed on my machine too. Instead of pulling those off of my backups, I went to each of their sites and did a fresh new installation.

Thank you for the input. I'll post if I hear anything different. However, my MBP is brand new (March), shipped with 10.10.1 and had an immediate update to 10.10.2.  I had already done the manual transfer of third party material after my data migration.  Still, I got the graphics issues.

I was curious to hear about your Time Machine back-ups.  I've wondered about that being a possible problem area for me as well. I  brought it up more than a few times with Apple staff. No one suggested that the back-ups might be a problem. Now, hearing that it was suggested as such to you I think I'm going to pursue that further with Apple.

In any event, I hope things improve for you.

Thanks! I hope this helps you out some as well also.