Matematika

Pertanyaan

tolong jawab sama bantuin cara nya yaa
tolong jawab sama bantuin cara nya yaa

1 Jawaban

  • y = ax^2 + bx + c puncaknya di x = 1 1/2 = 3/2
    => x = -b/(2a) = 3/2
    => -b/a = 3
    => b = -3a
    y = ax^2 - 3ax + c

    2x - y + 5 = 0 => y = 2x + 5 memotong parabola di x = 1 dan x = 3

    y = y
    ax^2 - 3ax + c = 2x + 5
    x = 3 => 9a - 9a + c = 6 + 5 => c = 11
    x = 1 => a - 3a + c = 2 + 5 => -2a + 11 = 7 => -2a = -4 => a = 2
    b = -3a = -6
    Jadi
    y = ax^2 + bx + c
    y = 2x^2 - 6x + 11