Making f(x)=ax^2+bx+c to f(x)=a(x-h)^2+k
Example was 3x^2+6x+9 then it became 3 (x+1^2) +6 Can someone explain how and why?
Forms in Quadratic function help?
2015-06-14 1:23 pm
回答 (3)
2015-06-14 1:24 pm
✔ 最佳答案
f(x) = 3x^2 + 6x + 9f(x) = 3(x^2 + 2x) + 9
f(x) = 3(x^2 + 2x + 1) + 9 - 3
f(x) = 3(x + 1)^2 + 6
2015-06-14 1:53 pm
Look,you must try to make it into a complete square term.
3x^2+6x+9 can be written as (√3x)^2 +2(√3x)(√3)+ (√3)^2 +6 which is of the form a^2 +2ab+b^2
So, 3x^2+6x+9= (√3x+√3)^2 +6= 3(x+1)^2 +6
3x^2+6x+9 can be written as (√3x)^2 +2(√3x)(√3)+ (√3)^2 +6 which is of the form a^2 +2ab+b^2
So, 3x^2+6x+9= (√3x+√3)^2 +6= 3(x+1)^2 +6
2015-06-14 1:28 pm
Oh that's easy. Easy problem. Too easy. You ready for the answer? The answer to this problem is......
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