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Conic sections

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4. Find the center, vertices and foci of 4x^2 + 9y^2 -8x +36y +4 =0. Graph, labeling all relevant points including the foci.

5. Find the equation of the hyperbola whose center is the origin, vertex at (2,0) and focus at (3,0). Write the equation of the asymptotes.

6. Find the center, vertices, foci and asymptotes of
(x+3)^2 - (y-2)^2
9 16 =0
(NOTE: the division lines are missing above the 9 and the 16.)
Graph it labeling all important points and asymptotes!!!

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This solution provides example problems and solutions of working with conic sections.

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