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10 January, 22:30

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = - 2x2 + 6x - 1.

x = 3; vertex: (3, 35)

x = - 1.5; vertex: (-1.5, - 5.5)

x = 1.5; vertex: (1.5, 3.5)

x = - 1.5; vertex: (-1.5, - 14.5)

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Answers (1)
  1. 11 January, 01:48
    0
    The answer to your question is x = 1.5 Vertex = (1.5, 3.5)

    Step-by-step explanation:

    Data

    Function

    y = - 2x² + 6x - 1

    Process

    1. - Find the canonical form of the equation

    y = - 2x² + 6x - 1

    y + 1 = - 2x² + 6x

    y + 1 = - 2 (x² - 3x)

    y + 1 - 18/4 = - 2 (x² - 3x + 3/2²)

    y - 7/2 = - 2 (x - 3/2) ²

    2. - Find the vertex

    (3/2, 7/2) = (1.5, 3.5)

    3. - Find the axis of symmetry

    The axis of symmetry is the "x" coordinate.

    axis of symmetry = 1.5
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