Question

Complete the square to transform the expression x2 − 2x − 2 into the form a(x − h)2 k.

Answer 1

The given expression is equivalent to the expression (B) $(x-1)^{2} -3$.

What is an equivalent function?

• Two functions are equivalent if they share the same domain and codomain and have the same values for all domain components.

To complete the square to transform the expression:

• The given expression is $x^{2} -2x-2$.
• Then the expression can be written as, add and subtract one.
• Then we have:
• $x^{2} -2x+1-1-2\\x^{2} -2x+1-3\\(x-1)^{2} -3$

Therefore, the given expression is equivalent to the expression (B) $(x-1)^{2} -3$.

Know more about equivalent function here:

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The correct question is shown below:

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

(A) (x − 1)2 + 3

(B) (x − 1)2 − 3

(C) (x − 2)2 − 3

(D) (x − 2)2 + 3