Question 1139590
start with (x+1)^2 + (y-8)^2 = 9


simplify to get x^2 + 2x + 1 + y^2 - 16y + 64 = 9


combine like terms to get x^2 + 2x + y^2 - 16y + 65 = 9


subtract 65 from both sides of the equation to get x^2 + 2x + y^2 - 16y = -56


subtract 2x from both sides of the equation and subtract y^2 from both sides of the equation and add 16y to both sides of the equation to get:


x^2 = -56 - 2x - y^2 + 16y


rearrange the terms in descending order of degree, with the x variable shown before the y variable when the degree is the same, to get:


x^2 = -y^2 - 2x + 16y - 56


that looks a lot like selection A, which is:


x^2 = -y^2 - 2x + 16y - 56