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19 September, 20:54

Complete the square to transform the expression x2 + 4x + 2 into the form a (x - h) 2 + k.

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  1. 19 September, 21:52
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    Step-by-step explanation:

    y = (x^2 + 4x) + 2

    Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.

    Put it after 4x

    y = (x^2 + 4x + 4) + 2 Subtract what you put inside the brackets on the outside.

    y = (x^2 + 4x + 4) + 2 - 4 Combine the right.

    y = (x^2 + 4x + 4) - 2 Express the brackets as a square.

    y = (x + 2) ^2 - 2

    That's your answer

    a = 1

    h = 2

    k = - 2
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