Question

Find the center and radius of the circle with the given equation. Then select the correct graph of the drcle. x2 + 8x + y2 + 4y + 11 = 0 The center is located at and the radius is

Answer 1

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`\begin{gathered} \text{ x}^2+8x+y^2\text{ + 4y + 11 = 0} \\ x^2+8x+()2+y^2\text{ + 4y + () = -11} \\ x^2+8x+(4)^2+y^2+4y+(2)^2\text{ = -11 + 16 + 4} \\ (x+4)^2+(y+2)^2\text{ = 9} \\ C\text{ = (-4, -2) r = }\sqrt[]{9}\text{ = 3} \end{gathered}`

Center = (-4, -2)

Radius = 3

Graph = letter C