Matematika

Pertanyaan

persamaan kuadrat yang melalui titik (0,3) (2,3) dan (1,1)

1 Jawaban

  • y = ax^2 + bx + c
    3 = c                      substitusi x = 0
    3 = (2^2) a + 2b + c
    1 = (1^2) a + b + c

    3 = 4a + 2b + 3
    1 = a + b + 3

    4a + 2b = 0
    a + b = -2                            a = -2 - b
    4( -2 - b ) = -2b
    -8 - 4b = -2b
    -8 = 2b
    b = -4

    a = -2 - (-4)
    a = 2

    y = 2x^2 - 4x +3


Pertanyaan Lainnya