Decide Whether or Not the Equation Has a Circle as Its

Multiple Choice

Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.
- $$x ^ { 2 } + y ^ { 2 } + 8 x - 8 y + 32 = 0$$

A) no; the graph is the point $( 4 , - 4 )$
B) no; the graph is nonexistent
C) yes
D) no; the graph is the point $( - 4,4 )$