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Bntu Huaa TT

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  • Bntu Huaa TT

    Perhatikan gambar di samping. Persamaan grafik fungsi kuadrat pada gambar tersebut adalah

  • #2
    Bentuk persamaan kuadrat:
    y = ax2 + bx + c

    Melewati titik (0, -4) maka:
    -4 = a(02) + b(0) + c
    -4 = 0 + 0 + c
    c = -4

    Melewati titik (2, 0) maka:
    0 = a(22) + b(2) - 4
    4 = 4a + 2b
    2 = 2a + b
    b = 2 - 2a

    Melewati titik (6, -4) maka:
    -4 = a(62) + b(6) - 4
    0 = 36a + 6b
    36a = -6b
    6a = -b
    6a = -(2 - 2a)
    6a = -2 + 2a
    4a = -2
    a = -2/4
    a = -1/2
    b = 2 - 2a = 2 - 2(-1/2) = 2 + 1 = 3

    Bentuk persamaan kuadrat:
    f(x) = ax2 + bx + c
    f(x) = -1/2(x2) + 3x - 4

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