Graph the ellipse and locate the foci.
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Name: Graph the ellipse and locate the foci. -
Brand: Quizplus
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Question

Quizplus · Accepted Answer

The given equation represents an ellipse with center at the origin since both terms have the same sign. Also, the major axis is along the x-axis since the coefficient of x^2 is larger than the coefficient of y^2. Therefore, the foci lie on the x-axis and their distance from the center is given by c=sqrt(a^2-b^2)=sqrt(9-4)=sqrt(5). So, the foci are at (-sqrt(5), 0) and (sqrt(5), 0), which corresponds to choice A.

Graph the Ellipse and Locate the Foci