Identify the type of graph.
-$$( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + 12 = 0$$
A) The graph is a circle with center $( - 4,2 )$.
B) The equation has no graph.
C) The graph is an ellipse with center $( 4 , - 2 )$.
D) The graph is the point $( - 4,2 )$.

Question

Quizplus · Accepted Answer

The equation represents a circle with a negative radius squared (since $12 = 0$ is impossible), which means it cannot be graphed or represent a real geometric figure.

Identify the Type of Graph (x+4)2+(y−2)2+12=0( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + 12 = 0(x+4)2+(y−2)2+12=0

Identify the Type of Graph $( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + 12 = 0$