Matematika

Pertanyaan

Diketahui fungsi f(x) = ax2 + bx + c, jika bayangan f(-1) = 7, f(0) = 4, dan f(1) = 3, maka fungsi f dapat dirumuskan menjadi?

1 Jawaban

  • f(x) = ax² + bx + c

    f(-1) = a(-1²) + b(-1) + c
    7 = a - b + c

    f(0) = a(0²) + b(0) + c
    4 = c

    f(1) = a(1²) + b(1) + c
    3 = a + b + c

    a - b + c = 7
    a + b + c = 3
    ------------------ (ditambah)
    2a + 2c = 10 >>>>>>> c = 4
    2a + 2(4) = 10
    2a + 8 = 10
    2a = 10 - 8
    2a = 2
    a = 2/2 = 1

    a + b + c = 3
    b = 3 - (a + c)
    = 3 - (1 + 4)
    = 3 - 5
    = -2

    f(x) = ax² + bx + c dengan a=1, b=-2, c=4
    f(x) = (1)x² + (-2)x + 4
    f(x) = x² - 2x + 4

    Semoga membantu

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