Question

Rewrite the function by completing the square.

f(x) = x^2 + 14x + 8

f(x) = (x+__)^2 + __

Answer 1

7; -41

Explanation:

f(x) =
`x^(2)` +14x +8

f(x) =
`x^(2)` + 14x + 49 -41

f(x) =
`(x+7)^(2)` + (-41)

When completing the square, 49 = (14/2)^2