Identify the graph of the ellipse. 49 x ² + 4 y ² = 196

Name: Identify the graph of the ellipse. 49 x 2 + 4 y 2 = 196
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Quizplus · Accepted Answer

The equation is written in the form (x^2)/a^2 + (y^2)/b^2 = 1, where a^2 = 4 and b^2 = 49. This means that the semi-major axis is 7 (square root of 49) and the semi-minor axis is 2 (square root of 4). Therefore, the graph is elongated vertically, and option C is the only one that shows this orientation.

Identify the Graph of the Ellipse