Completing the Square

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  • Hey man, do ever just wonder how to complete the square of f(x)=2x2 - 4x + 3?
  • Literally no one ever has ever wondered that but ill tell you how anyway.
  • Wow that so interesting!
  • First thing is to divide all terms by the a value.  =2(x2 -2x) + 3
  • Wow thats a lot of words.
  • Now you must take the b value and divide it by 2. (keep you result because you will be putting it back into the equation.) then square your answer and add that value inside the brackets and the negative of that value outside the brackets. (-2/2=-1) then (-12=1)  finally,                     f(x) =2(x2 -2 +1) +3 -1
  • No way, thats wild!
  • Next you put in brackets x and your b/2 answer and square the bracket. Also you multiply the -1 by the a value. =2(x-1)2 +3-2
  • Thats it!?
  • Yeah, then you just clean it up by subtracting 3-2. =2(x-1)2 +1
  • Wow thanks so much for helping me.
  • No problem dude, anytime.
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