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

Respuesta :

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

The given expression x² − 2x − 2 is equivalent to the expression (x − 1)² − 3. Then the correct option is B.

What is an equivalent function?

The equivalent is the functions that are in different forms but are equal to the same value.

The expression is given below.

→ x² − 2x − 2

Then the expression can be written as

Add and subtract one. Then we have

→ x² − 2x + 1 − 1 − 2

→ x² − 2x + 1 − 3

→ (x − 1)² − 3

The given expression x² − 2x − 2 is equivalent to the expression (x − 1)² − 3.

More about the equivalent link is given below.

https://brainly.com/question/889935

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