Question

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​

Answer 1

x ² - 4x + y ² + 8y = -4

(x ² - 4x + 4) + (y ² + 8y + 16) = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

which is the equation of a circle centered at (2, -4) and with radius 4.