Matematika

Pertanyaan

parabola y= -x^2-2y-8=0 dicerminkan terhadap garis x=1

1 Jawaban

  • y = -x² - 2y - 8 = 0 direfleksikan garis x = 1

    [tex] \binom{ {x}^{c} }{ {y}^{c} } = \binom{2h - x}{y} \\ \binom{ {x}^{c} }{ {y}^{c} } = \binom{2(1) - x}{y} \\ \\ {x}^{c} = 2 - x \\ x = 2 - {x}^{c} \\ \\ y = {y}^{c} [/tex]
    Bayangan :
    [tex] - {x}^{2} - 2y - 8 = 0 \\ - (2 - {x}^{c} ) {}^{2} - 2( {y}^{c} ) - 8 = 0 \\ - (4 - 4x + {x}^{2} ) - 2y - 8 = 0 \\ - 4 + 4x - {x}^{2} - 2y - 8 = 0 \\ - {x}^{2} + 4x - 2y - 12 = 0 \\ atau \\ {x}^{2} - 4x + 2y + 12 = 0[/tex]

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