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Graph the equation 36x^2 + 16y^2 = 576 on a graphing calculator. Identify the conic section. Then identify the center and intercepts for circles and ellipses, or the vertices and direction that the graph opens for parabolas and hyperbolas.

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Answer:

If we use a graphing tool or a calculator, we can easily plot the equation provided.

Please see the attached images, where we can find the center of the ellipse, the intercepts and more information about the graph.

Graph the equation 36x^2 + 16y^2 = 576 on a graphing calculator. Identify the conic-example-1
Graph the equation 36x^2 + 16y^2 = 576 on a graphing calculator. Identify the conic-example-2
User Alex Stephens
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