Matematika

Pertanyaan

Tentukan bayangan 2y=6-3x di translasi T (3/-4) dilanjut faktor skalar 2

1 Jawaban

  • 2y = 6 - 3x

    Translasi (3, -4)
    Dilatasi (2,0,0,2)
    x', y' = 2(x + 3), (2(y-4)
    x' = 2x + 6 , y' = 2y - 8

    x' = 2x + 6
    2x = 6 - x'
    x = 3 - 1/2 x'

    y' = 2y - 8
    2y = y' + 8
    y = 1/2 y' + 4

    2y = 6- x
    2( 1/2 y' + 4) = 6 - (3 - 1/2 x)
    y' + 8 = 6 - 3 + 1/2 x
    y' + 8 = 3 + 1/2 x'
    y' = 1/2 x' - 5
    bayangan 2y = x - 10

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