What is the result of isolating y^2 in the equation below? (x+6)^2 + y^2 = 1

Question

What is the result of isolating y^2 in the equation below?
(x+6)^2 + y^2 = 1

 

A.) y^2 = -x^2 - 12x -35
B.) y^2 = x^2 + 12x + 37
C.) y^2 = -x^2 - 35
D.) y^2 = x^2 + 37

Answer 1

(x+6)^2 + y^2 = 1 then isolate y^2  by subtracting (x +6)^2 from both sides, we get

                

                 y^2 = 1 - (x + 6)^2

 

 

expanding the right side, we now have

 

                 y^2 = 1-(x^2 + 12x +36)

           y^2 = 1-x^2-12x -36

           y^2 = -x^2 -12x - 35  therefore the solution is  choice A