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18 August, 22:58

Determine the axis of symmetry and the vertex of the given function.

y = 2x2 - 12x + 21

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  1. 18 August, 23:02
    0
    the vertex is (3, 3)

    Symetric axis's equation: x = 3

    Step-by-step explanation:

    Let's name the function " f "

    f (x) = y = 2x² - 12x + 21

    the vertex has coordinates of (-b/2a, f (-b/2a))

    -b/2a = 12/2 (2) = 12/4 = 3

    f (-b/2a) = f (3) = 2 (3) ² - 12 (3) + 21 = 3

    then the vertex is (3, 3)

    the symetric axis has the equation:

    x = - b/2a

    then
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