Question

F(x)=x^2+12x+7 f(x)=(x+_)^2+_ Rewrite the function by completing the square

Answer 1

answers are 6, and -29

Answer 2

f(x) = (x + 6)² - 29

Explanation:

Given

f(x) = x² + 12x + 7

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

x² + 2(6)x + 36 - 36 + 7

= (x + 6)² - 29, thus

f(x) = (x + 6)² - 29