Question #b9935

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Question #b9935

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Answer 1 · 2017-04-06T17:37:05

$f (x) = {(x + 3)}^{2} - 16$ $f(x)=(x+3)^2-16$

Explanation:

To $complete the square$ $color(blue)"complete the square"$

$∙ add {(\frac{1}{2} coefficient of x-term)}^{2}$ $• "add " (1/2" coefficient of x-term")^2$

$that is {(\frac{6}{2})}^{2} = 9$ $"that is " (6/2)^2=9$

$\Rightarrow f (x) = (x^{2} + 6 x + 9) - 9 - 7$ $rArrf(x)=(x^2+6xcolor(red)(+9))color(red)(-9)-7$

$\Rightarrow f (x) = {(x + 3)}^{2} - 16$ $rArrf(x)=(x+3)^2-16$

$Note add 9 to complete the square so 9 must be subtracted$ $"Note add 9 to complete the square so 9 must be subtracted"$

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Question #b9935

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