Match each equation with the other equation that has the same graph.
-$3 y ^ { 2 } + 2 x ^ { 2 } = 25$
A) $3 x ^ { 2 } + 2 y ^ { 2 } = 25$
B) $2 x ^ { 2 } + 3 y ^ { 2 } = 25$
C) $x ^ { 2 } + y ^ { 2 } = 25$

Question

Match each equation with the other equation that has the same graph.
-$3 y ^ { 2 } + 2 x ^ { 2 } = 25$ 
A) $3 x ^ { 2 } + 2 y ^ { 2 } = 25$ 
B) $2 x ^ { 2 } + 3 y ^ { 2 } = 25$ 
C) $x ^ { 2 } + y ^ { 2 } = 25$

Quizplus · Accepted Answer

The equation given is the equation of an ellipse with the center at the origin and major axis parallel to the y-axis. The equation B is also the equation of an ellipse with the same center and major axis parallel to the x-axis, thus having the same graph as the given equation. The equation A is also the equation of an ellipse, but with a different orientation and different intercepts, while equation C is the equation of a circle with the same center and radius as the given ellipse, thus having a different shape.

Match Each Equation with the Other Equation That Has the Same