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directrix = length of major & minor axis = Determine whether the equation represents an ellipse, a parabola, or a hyperbola. 16x2 + 36y2 -

directrix =

length of major & minor axis =

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Determine whether the equation represents an ellipse, a parabola, or a hyperbola. 16x2 + 36y2 - 128x + 36y + 121 = 0 ellipse parabola hyperbola If the graph is an ellipse, find the center, foci, and vertices. If it is a parabola, find the vertex, focus, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. (Enter your answers for asymptotes as a comma-separated list of equations. If an answer does not exist, enter DNE.) center ( x, y ) = 4, - focus ( x, y ) = 4- 15, - (smaller x-value or only focus) focus ( x, y) = 4+ 15, - N/ H (larger x-value) vertex ( x, y ) = 1, - 2 (smaller x-value or only vertex) vertex ( x, y ) = 7 , - NH (larger x-value) length of the major axis 6 length of the minor axis asymptotes dne directrix

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