Matematika

Pertanyaan

bantu no 4-5 dg jalan nya
bantu no 4-5 dg jalan nya

1 Jawaban

  • 4) f(x) = x^2 - 4x - 12

    Memotong sumbu x jika f(x) = y = 0
    x^2 - 4x - 12 = 0
    (x - 6)(x + 2) = 0
    x = 6 atau x = -2
    (6,0) dan (-2,0)

    Memotong sumbu y jika x = 0
    y = f(0) = 0^2 - 4(0) - 12 = -12 => (0, -12)

    5) titik puncak = (xp, yp) = (-1, 4) dan melalui (x,y) = (1,0)
    y = a(x - xp)^2 + yp
    0 = a(1 - (-1))^2 + 4
    0 - 4 = a(2)^2
    -4 = 4a
    a = -1
    y = a(x - xp)^2 + yp
    y = -1(x + 1)^2 + 4
    y = -1(x^2 + 2x + 1) + 4
    y = -x^2 - 2x - 1 + 4
    y = -x^2 - 2x + 3