Matematika

Pertanyaan

Find the vertex of quadratic function y=x^2-2x-15

Plis helppp,,,,

2 Jawaban

  • [tex]Fungsi \:Kuadrat[/tex]

    fungsi kuadrat y = x² - 2x - 15
    memiliki nilai a = 1 , b = -2, c = -15

    vertex (koordinat titik balik) terletak pada sumbu simetri xs
    xs = -(b/2a)
    xs = -(-2/2)
    xs = 1

    nilai baliknya adalah y(xs) = y(1)
    y(1) = 1² - 2(1) - 15
    y = -16

    jadi, koordinat titik baliknya adalah (1 , -16)

    semoga jelas dan membantu


    _______
    in english

    a quadratic function y = x² - 2x - 15
    has a = 1 , b = -2, c = -15

    the vertex lies on axis of symmetry xs
    xs = -(b/2a)
    xs = -(-2/2)
    xs = 1

    and the optimum value is
    y(xs) = y(1)
    y(1) = 1² - 2(1) - 15
    y = -16

    hence, the vertex is (1 , -16)
  • Mapel Matematika
    Bab Koordinat

    Vertex = Koordinat Titik Balik

    y = x^2 - 2x - 15

    Ordinat
    = -b/2a
    = -(-2)/2(1)
    = 1

    Absis
    = 1^2 - 2(1) - 15
    = -16

    Koordinat TB (1, -16)

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