Persamaaan bayangan garis g : 4x-2y+8=0 yang direfleksikan dengan garis x=-3 adalah

<p>Jawaban yang tepat adalah -4x' - 2y' - 16 = 0 &nbsp; atau &nbsp;2x + y + 8 = 0</p><p>&nbsp;</p><p>Pembahasan :</p><p>Rumus refleksi terhadap x = h</p><p>A(x,y) direfleksikan terhadap x = h bayangannya A'(2h - x,y)</p><p>&nbsp;</p><p>A(x,y) direfleksikan terhadap x = - 3 bayangannya A'(2(-3) - x,y)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; A'(-6 - x, y)</p><p>x' = -6 - x</p><p>x = -6 - x'</p><p>y = y'</p><p>&nbsp;</p><p>4x - 2y + 8 = 0</p><p>4(-6 - x') - 2y' + 8 = 0</p><p>-24 - 4x' - 2y' + 8 = 0</p><p>-4x' - 2y' - 16 = 0 &nbsp; &nbsp;(dibagi -2)</p><p>2x' + y' + 8 = 0</p><p>2x + y + 8 = 0</p><p>Jadi bayangan garis g adalah -4x' - 2y' - 16 = 0 &nbsp; atau &nbsp;2x + y + 8 = 0</p>