Identify the type of graph.
-$$- x ^ { 2 } - 2 x + 4 y ^ { 2 } + 8 y = 20$$
A) The equation has no graph.
B) The graph is an ellipse with center $\left( - \frac { 4 } { 5 } , \frac { 2 } { 5 } \right)$.
C) The graph is a circle with center $\left( \frac { 4 } { 5 } , - \frac { 2 } { 5 } \right)$.
D) The graph is a hyperbola opening to the right and left.

Question

Quizplus · Accepted Answer

The equation represents a hyperbola because it has both $x^2$ and $y^2$ terms with opposite signs.

Identify the Type of Graph −x2−2x+4y2+8y=20- x ^ { 2 } - 2 x + 4 y ^ { 2 } + 8 y = 20−x2−2x+4y2+8y=20

Identify the Type of Graph $- x ^ { 2 } - 2 x + 4 y ^ { 2 } + 8 y = 20$