Rewrite the equation f (x) =2x^2 +12x+7 to the form f (x) =a (x-h)^2+k
2 answers:
Complete theh square isolate x terms factor out coefient of x^2 term take 1/2 of 1st degree coefient and square it, add positive and negative inside parnthasees, expand f(x)=(2x^2+12x)+7 f(x)=2(x^2+6x)+7 6/2=3, 3^2=9 f(x)=2(x^2+6x+9-9)+7 f(x)=2((x+3)^2-9)+7 f(x)=2(x+3)^2-19+7 f(x)=2(x+3)^2-12
You do have to complete the square on part of the problem. Follow my steps in the picture. If you graph the original problem and the answer you should get the same graph.
I checked my answer.
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