Were you typing in the search box on the Navigation Toolbar, or in the search box on a Google page?

Did the entire browser turn upside down, or just the page content?

Because you posted from IE10, the forum didn't capture any information about your plugins or extensions. Rather than compile a list, you might just try Firefox's Safe Mode, a standard diagnostic tool to bypass interference by extensions (and some custom settings). More info: Diagnose Firefox issues using Troubleshoot Mode.

You can restart Firefox in Safe Mode using

Help > Restart with Add-ons Disabled

In the dialog, click "Start in Safe Mode" (not Reset)

Can you replicate the problem?

Safe mode does not automatically disable plugins. If you want to rule those out as well, you can disable them here:

orange Firefox button (or Tools menu) > Add-ons > Plugins category

Any difference?

Thanks, jscher2000 I will try what you said. I was typing in the Google search bar, and just the content in the Google home page flipped around. Not the browser. I'm typing this reply in Firefox, so you can see all of my plugins and other stuff. How do I know what to fix when I start Firefox up in safe mode? Also, will it show me the issues, or will I have to do some digging? Thanks or your help :) PS: I will be uploading a screen shot of the issue with Firefox, so you can see what I'm talking about

Wow, never seen anything like it. Unfortunately, the story with Safe Mode is that it knock out extensions, use of hardware graphics acceleration, use of the JavaScript compiler, and a couple other things, so you can't tell which of those was the culprit. However, you can turn off a few of those manually if you like. In particular, the graphics acceleration.

(1) In a new tab, type or paste about:config in the address bar and press Enter. Click the button promising to be careful.

(2) In the filter box, type or paste gfx and pause while the list is filtered

(3) Double-click gfx.direct2d.disabled to toggle its value from false to true (it should turn bold).

(4) Double-click gfx.content.azure.enabled to toggle its value from true to false (it should turn bold).

You usually need to restart Firefox before this takes effect.

Do a malware check with some malware scanning programs on the Windows computer.
Please scan with all programs because each program detects different malware.

Make sure that you update each program to get the latest version of their databases before doing a scan.

• Malwarebytes' Anti-Malware:
  http://www.malwarebytes.org/mbam.php
• SuperAntispyware:
  http://www.superantispyware.com/
• Microsoft Safety Scanner:
  http://www.microsoft.com/security/scanner/en-us/default.aspx
• Windows Defender: Home Page:
  http://www.microsoft.com/windows/products/winfamily/defender/default.mspx
• Spybot Search & Destroy:
  http://www.safer-networking.org/en/index.html
• AdwCleaner:
  http://www.bleepingcomputer.com/download/adwcleaner/
  http://www.softpedia.com/get/Antivirus/Removal-Tools/AdwCleaner.shtml
• Kasperky Free Security Scan:
  http://www.kaspersky.com/security-scan

You can also do a check for a rootkit infection with TDSSKiller.

• Anti-rootkit utility TDSSKiller:
  http://support.kaspersky.com/5350?el=88446

See also:

• "Spyware on Windows": http://kb.mozillazine.org/Popups_not_blocked

Thanks cor-el but this same issue is happing on a Acer lab that my sister uses as well. I did a scan with Windows defender, and it said that "No Malicious programs detected". But, I will scan with my Anti- virus program, Avast, and I will try one of the other programs! Thanks for your help :)