Question 650465: write an equation for the hyperbola that satisfies the given set of conditions.
vertices (-4,1) and (-4,9), foci (-4,5±√97)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write an equation for the hyperbola that satisfies the given set of conditions.
vertices (-4,1) and (-4,9), foci (-4,5±√97)
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Standard form of equation for given hyperbola with vertical transverse axis:
 , (h,k)=(x,y) coordinates of center.
...
center:(-4,5)
length of transverse axis=8 (1 to 9)=2a
a=4
a^2=16
..
Foci:
c=√97
c^2=97
..
c^2=a^2+b^2
b^2=c^2-a^2=97-16=81
..
Equation of given hyperbola:
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