SOLUTION: Discuss the conic 4x2-y2+8x+2y-1=0 find its foci, vertices and asymptotes if any

Question 971232: Discuss the conic 4x2-y2+8x+2y-1=0
find its foci, vertices and asymptotes if any
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
.......group 's and 's
.........complete squares

..........divide by

..........you have a hyperbola
compare it to the standard formula
as you can see, , , , and
then
so,
the center is at (,
foci:
((, ) and (,))
((, ) and (, ))
or, approximately ((,) and (,))
vertices: | (, ) and (, )
semi-major axis length:
semi-minor axis length:
asymptotes: and

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