### Home > A2C > Chapter 11 > Lesson 11.2.6 > Problem 11-119

11-119.

Change the equation *x*^{2} + 8*x + y*^{2} − 12*y = *12 to graphing form and sketch a graph. Homework Help ✎

Complete the squares for both *x* and *y*.

(*x*^{2} + 8*x* + 16) + (*y*^{2} − 12*y* + 36) = 12 + 16 + 36

(*x* + 4)^{2} + (*y* − 6)^{2} = 64

This is the equation of a circle whose center is at (−4, 6) and whose radius is 8.