Question

Rewrite the function by completing the square x^2-16x-100
f(x)=(x+__)^2±__

Answer 1

(x - 8)² - 164

Explanation:

Given

x² - 16x - 100

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 16x

= x² + 2(- 8)x + 64 - 64 - 100

= (x - 8)² - 164