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

(x - 1) 2 + 3

(x - 1) 2 - 3

(x - 2) 2 - 3

(x - 2) 2 + 3

Question

Mathematics

Lena Stephenson

13 May, 07:42

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

(x - 1) 2 + 3

(x - 1) 2 - 3

(x - 2) 2 - 3

(x - 2) 2 + 3

+3

Answers (2)

Know the Answer?

Immanuel Dyer · Answer 1

(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

Katelynn · Answer 2

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.

Complete the square to transform the expression x^2 - 2x - 2 into the form a (x - h) ^2 + k.(x - 1) 2 + 3(x - 1) 2 - 3(x - 2) 2 - 3(x - 2) 2 + 3

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

(x - 1) 2 + 3

(x - 1) 2 - 3

(x - 2) 2 - 3

(x - 2) 2 + 3