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The equation y2 4y 4x2 + 13 = 0 will produce a hyperbola. How can we tell by simply observing the equation? In what directions

The equation y2 4y 4x2 + 13 = 0 will produce a hyperbola. How can we tell by simply observing the equation? In what directions do the branches of this hyperbola open? How do you know? Explain. Sketch a graph of this hyperbola, clearly indicating how you have determined the key characteristics (center, vertices, eccentricity, foci). Give the domain and range of this hyperbola

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