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| Question 684686:  Classify the conic section and write its equation in standard form.
 1) 4x^2 + y^2 - 8x - 8 = 0
 
 2) 4x^2 - 25y^2 - 100y = 0
 Write the standard equation of the Ellipse. Find the center, vertices, co-vertices and foci.
 3)x^2 + 4y^2 - 18x -8y + 81 = 0
 Foci:
 Vertices:
 Co-Vertices:
 Center:
 
 Answer by lynnlo(4176)
      (Show Source): 
You can put this solution on YOUR website! (1) HYPERBOLE CENTER=(1,0)
 VERTICES=(1-√3,0)
 FOCI=(1-√15,0)
 Y=2X-2
 (2)FOCI=(0,-2-√29
 VERTICE=(0,4)(0,0)
 CENTER=(0,2)
 (3)HYPERBOLA
 CENTER(9,-1)
 VERTICE=(-1,11)(-1,7)
 CO-VERTICE=(9,2)(9,0)
 FOCI=(9,-1-√5)
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