Identify the type of graph.
-$$\frac { ( x - 7 ) ^ { 2 } } { 4 } + \frac { ( y - 6 ) ^ { 2 } } { 9 } = 0$$
A) The graph is an ellipse with center at $( - 7 , - 6 )$.
B) The graph is the point $( 7,6 )$.
C) The graph is an ellipse with center at $( 7,6 )$.
D) The graph is a hyperbola opening right and left.

Question

Quizplus · Accepted Answer

The equation is of an ellipse, but since both sides of the equation equal 0, it represents a single point where $x = 7$ and $y = 6$, not an actual ellipse or hyperbola.

Identify the Type of Graph (x−7)24+(y−6)29=0\frac { ( x - 7 ) ^ { 2 } } { 4 } + \frac { ( y - 6 ) ^ { 2 } } { 9 } = 04(x−7)2​+9(y−6)2​=0

Identify the Type of Graph $\frac { ( x - 7 ) ^ { 2 } } { 4 } + \frac { ( y - 6 ) ^ { 2 } } { 9 } = 0$