How to speed up my fps on minecraft while I'm recording the gameplay?

I got a brand new HP Pavilion 500-314 Desktop PC just only 2 days ago and I mainly got it for its 2TB hard-drive and 8gb RAM although I did not check the graphics card before I bought it because I'm still new to PCs and honestly did not know that a graphics card would be important. The graphics card is entitled: "AMD Radeon R7 Graphics".

Any help would be good as long as it does not void my warranty as my friend suggested using MSI Afterburner which I have never used before and I don't truly want to use due to the warranty void.

Besides overclocking which will void a warranty or getting a better computer all you can do is pull down all the settings to the minimum.

Well if you lower graphical Settings e.x (render distance normal - low)

If you were using a nvidia card you could have you used shadow play which loses about about %7-10 of overall fps

Are you using a modpack with a lot of mods then expect lag on your system

Are you using optifine, if not start using it!

And what are you using to record

Also if you are a noob (rookie) to computers DO NOT OVERCLOCK you will need better fans and or water cooling and as you said you would void a warranty