Question

Complete the square to transform the expression x2 − 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

Answer 1

The transformation of the expression $x^{2} -2x-2$ is $(x-1)^2 -3$.

Given equation is: $x^{2} -2x-2$

What is the expansion of the square of (a+b)?

The expansion of (a+b)² is a²+b²+2ab.

We can rewrite the given expression as:

$x^{2} -2x+1 -3$..........(1)

We know that $x^{2} -2x+1$ is the expansion of $(x-1)^2$.

So, (1) can be written as:

$x^{2} -2x+1 -3$

$(x-1)^2 -3$

So, $x^{2} -2x-2 = (x-1)^2-3$

Therefore, the transformation of the expression $x^{2} -2x-2$ is $(x-1)^2 -3$.

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Answer 2

Answer:

The answer is B. (x-1)^2 - 3

Step-by-step explanation:

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