Question

Rewrite the function by completing the square.
f(x) = x2 - 8x - 2
f(x) = (x+
2+

Answer 1

f(x) = (x - 4)² - 18

Explanation:

Given

f(x) = x² - 8x - 2

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 8x

f(x) = x² + 2(- 4)x + 16 - 16 - 2

= (x - 4)² - 18