Explicación paso a paso:
( x + 4)² + ( y – 2)²= 4
(x)^2 + 2.x.4 + (4)^2 + y^2 - 2.y.2 + (2)^2 = 4
(x)^2 + 8x + 16 + y^2 - 4y + 4= 4
(x)^2 + y^2 + 8x - 4y = 4 - 4 - 16
(x)^2 + y^2 + 8x - 4y = - 16
(x)^2 + y^2 + 8x - 4y + 16 = 0
