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27 May, 04:40

3a. Convert the following function in standard form to vertex form by

completing the square

y = x^2 + 8x + 17

1 Add file

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Answers (1)
  1. 27 May, 08:20
    0
    y = (x + 4) ² + 1

    Step-by-step explanation:

    Given

    y = x² + 8x + 17

    To complete the square

    add/subtract (half the coefficient of the x - term) ² to x² + 8x

    y = x² + 2 (4) x + 16 - 16 + 17

    = (x + 4) ² + 1 ← in vertex form
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