CPM Homework Help : PC3 Problem 10-8

Complete the square to rewrite the equation $x^{2} + 8x + y^{2} − 12y = 12$ in graphing form and then sketch the graph.

Hint:

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

Step:

$(x^2 + 8x + 16) + (y^2 - 12y + 36) = 12 + 16 + 36$