Question

Complete the square to transform the expression x^2− 2x − 2 into the form a(x − h)^2+ k.

Answer 1

Answer:

(x - 1)² - 3

Step-by-step explanation:

Given

x² - 2x - 2

To complete the square

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

x² + 2(- 1)x + 1 - 1 - 2

= (x - 1)² - 3

Answer 2

Answer:

b.  (x - 1)^2 - 3.

Step-by-step explanation:

x^2− 2x − 2       Note that x^2 - 2x is equivalent to (x - 1)^2 - 1 so we have:    

(x - 1)^2 - 1 - 2

= (x - 1)^2 - 3.