Pers bayangan lingkaran x² + y² = 4 bila dicerminkan terhadap garis x = 2 , transalasi (-3,4) adalah…

(x, y) —[R. x=2]—› (x', y') = (2(2)-x, y)

(2(2)-x, y)—[T (-3,4)]—›(x", y")=(4-x,y)+(-3, 4)

Maka,
x" = 1-x → x = x"-1
y" = 4+y → y = y"-4

Sehingga,
x²+y² = 4
(x"-1)²+(y"-4)² = 4
(x")²+(y")²-2x"-8y"+17 = 4
x²+y²-2x-8y+13 = 0