Question 851770: write the standard form of the equation of the conic section with the given characteristics
1. circle with center at (3,-1) and radius is 4
2. Ellipse with vertex at(0,12) and co-vertices at(-8,0)
3. Hyperbola with vertex at (0,4),focus at(0,5) and center at(0,1)
Answer by ewatrrr(24785)   (Show Source):
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Hi,
1. circle with center at (3,-1) and radius is 4 
2. Ellipse with vertex at(0,12) and co-vertices at(-8,0), C(0,0) 
3. Hyperbola with vertex at (0,4),focus at(0,5) and center at(0,1)
 4 = sqrt(3^2 + 7 )
Standard Form of an Equation of an Hyperbola opening up and down is:
 with C(h,k) and vertices 'b' units up and down from center,
Foci  units units up and down from center, along x = h
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