4. (MGSE9.12 ACED.2, MGSF9-12. B.BF.1) Complete the square to write \( c(x)=x^{2}+6 x+ \) 14 in vertes form.
A. \( c(x)=(x+3)^{2}+5 \)
8. \( c(x)=(x-3)^{2}+14 \)
\( c(t)=(2+3)^{2}+23 \)
D. \( r(x)=(x+6)^{2}+14 \)

Answer

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Answer

\(c(x) = (x+3)^2 + 5\)

Steps

Step 1 ：\(c(x) = x^2 + 6x + 14\)

Step 2 ：\(c(x) = (x^2 + 6x + 9) + 14 - 9\)

Step 3 ：\(c(x) = (x+3)^2 + 5\)