Classify the graph of the equation below as a circle, a parabola, an ellipse, or a hyperbola.
$$2 x ^ { 2 } + 5 y ^ { 2 } + 8 x - 2 y = 0$$
A) ellipse
B) hyperbola
C) parabola
D) circle

Question

Quizplus · Accepted Answer

The equation $2x^2 + 5y^2 + 8x - 2y = 0$ represents an ellipse because both $x^2$ and $y^2$ terms are present and have the same signs but different coefficients.

Classify the Graph of the Equation Below as a Circle 2x2+5y2+8x−2y=02 x ^ { 2 } + 5 y ^ { 2 } + 8 x - 2 y = 02x2+5y2+8x−2y=0

Classify the Graph of the Equation Below as a Circle $2 x ^ { 2 } + 5 y ^ { 2 } + 8 x - 2 y = 0$