Matematika

Pertanyaan

jika titk puncak f(x)=x^2-bx+7 mempunyai absis 4,maka ordinatnya adalah

2 Jawaban

  • Parabola

    f(x) = x² - bx + 7
    a = 1
    b = -b
    c = 7

    Puncak
    xp = -b/2a = 4
    -(-b)/2 = 4
    b = 4 × 2
    b = 8

    f(x) = x² - 8x + 7
    yp = f(4) = 4² - 8.4 + 7
    yp = 16 - 32 + 7
    yp = -16 + 7
    yp = -9

    Ordinat puncak = yp = -9
  • f(x)=x^2-bx+7

    Xp= -b/2a
    4 = -(-b)/2(1)
    8 = b

    maka f(x)=x^2-8x+7

    yp=D/-4a
    =b^2-4ac/-4a
    = 64-4(1)(7)/-4
    =36/-4
    =-9

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