Identify the type of graph.
-$\frac { ( x - 7 ) ^ { 2 } } { 3 } + \frac { ( y - 3 ) ^ { 2 } } { 7 } = 0$
A) The graph is the point (7, 3).
B) The graph is an ellipse with center at (-7, -3).
C) The graph is a hyperbola opening right and left.
D) The graph is an ellipse with center at (7, 3).

Question

Quizplus · Accepted Answer

The equation represents a single point because both the numerator and the denominator of each fraction are squared, and the equation equals 0. This means that both $x - 7$ and $y - 3$ must be 0, so the graph is a single point at (7, 3).

Identify the Type of Graph (x−7)23+(y−3)27=0\frac { ( x - 7 ) ^ { 2 } } { 3 } + \frac { ( y - 3 ) ^ { 2 } } { 7 } = 03(x−7)2​+7(y−3)2​=0

Identify the Type of Graph $\frac { ( x - 7 ) ^ { 2 } } { 3 } + \frac { ( y - 3 ) ^ { 2 } } { 7 } = 0$