Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations to receive credit.

[x^2 - 4x + y^2 + 8y = - 4]

x² - 4x + y² + 8y = - 4

x^2 - 4x + (4/2) ² + y² + 8y + (8/2) ² = - 4 + (4/2) ² + (8/2) ²

(x - 2) ² + (y + 4) ² = - 4 + 4 + 16 = 16

(x - 2) ² + (y + 4) ² = 4²

That's a circle with

Answer: center (2,-4) radius 4