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x' = x + 3
y' = y + 5
persamaannya
(x + 3)² + (y + 5)² = 16
x² + 6x + 9 + y² + 10y + 25 = 16
x² + y² + 6x + 10y + 18 = 0
x = x'-3
y' = y+5
y = y'-5
persamaan lingkarang baru:
subtitusikan x=x'-3 dan y=y'-5 ke persamaan x^2 + y^2 = 16
jadi:
(x'- 3)^2 + (y'- 5)^2 = 16
x'^2 - 6x + 9 + y^2 - 10y + 25 = 16
x^2 + y^2 - 6x - 10y - 28 = 0