Respuesta :

zainebamir540

Answer:

The graph of the given function yields a hyperbola shown in the attached image below

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ANSWER

Hyperbole.

EXPLANATION

The given equation is

[tex] - {x}^{2} + 4 {y}^{2} - 6x - 48y + 139 = 0[/tex]

We use the sign of the quadratic terms to determine whether the conic is a hyperbole or an ellipse.

Since the sign of the coefficient of the quadratic terms are opposite, the conic is a hyperbole.

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