SOLUTION: A conic section has the equation x^2-6x-y+4y-4=0. Which of the following are true? Check all that apply
A. The equation is a parabola with its vertex at (3, 2).
B.
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Question 467197: A conic section has the equation x^2-6x-y+4y-4=0. Which of the following are true? Check all that apply
A. The equation is a parabola with its vertex at (3, 2).
B. The equation is a circle with its center at (3, 2).
C. The equation is a hyperbola with one vertex at (0, 2).
D. The radius is 1.
E. The radius is 2.
F. The graph has asymptotes at y=x-1 and y=-x+5
Found 2 solutions by Big Poop, solver91311:
Answer by Big Poop(157) (Show Source): You can put this solution on YOUR website!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The equation of a circle has both
and
terms with equal coefficients.
The equation of a hyperbola has both
and
terms with coefficients that have opposite signs.
If the graph has a radius, then it is a circle.
Polynomial functions do not have asymptotes.
That only leaves one possibility.
John

My calculator said it, I believe it, that settles it
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