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19 December, 22:34

What is the vertex of the graph of the function below?

y = x^2 - 8x + 12

O A. (2,0)

O B. (4,0)

O C. (2,-4)

O D. (4,-4)

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Answers (1)
  1. 19 December, 22:48
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    D. (4, - 4)

    Step-by-step explanation:

    Convert to vertex form by completing the square.

    For a polynomial y = x² + bx + c, first add and subtract (b/2) ² to the polynomial. Then factor.

    Here, b = - 8. So (b/2) ² = (-8/2) ² = 16.

    y = x² - 8x + 12

    y = x² - 8x + 16 - 16 + 12

    y = (x - 4) ² - 16 + 12

    y = (x - 4) ² - 4

    The vertex is (4, - 4).
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