SBMPTN

Pertanyaan

Soal mat. Tolong bantu ya. Thank you
Soal mat. Tolong bantu ya. Thank you

1 Jawaban

  • f(x) = ax^2 + bx + c mencapai minimum di (-2,1) = (xp,yp)
    y = a(x - xp)^2 + yp
    y = a(x - (-2))^2 + 1
    y = a(x^2 + 4x + 4) + 1
    f(x) = ax^2 + 4ax + 4a + 1
    Karena minimum maka a > 0
    a = 1 => f(x) = x^2 + 4x + 5
    a = 2 => f(x) = 2x^2 + 8x + 9
    a = 3 => f(x) = 3x^2 + 12x + 13
    Dan seterusnya, jadi kita lihat bahwa
    c > b > a > 0