Question 412549: Write the standard form of the equation of the conic section with the given charateristics.
4. Hyperbola with vertex at (0, 4), focus at (0, 5), and center at (0, 1)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write the standard form of the equation of the conic section with the given charateristics.Hyperbola with vertex at (0, 4), focus at (0, 5), and center at (0, 1)
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Standard form of given hyperbola:
(y-k)^2/a^2-(x-h)^2=1
ctr (0,1)
transverse axis: vertical
a=on the transverse axis, the distance from ctr to vertex=4-1=3
a^2=9
c=on the transverse axis, the distance from ctr to focus=5-1=4
c^2=a^2+b^2
b^2=c^2-a^2=16-9=7
equation of hyperbola:
(y-1)^2/9-(x)^2/7=1
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y=1+((63+9x^2)/7)^.5
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