SOLUTION: Write and equation of the conic section hyperbola with vertices at (1,7) AND (7,7) and foci at (-1,7) and (9,7)

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Question 859366: Write and equation of the conic section hyperbola with vertices at (1,7) AND (7,7) and foci at (-1,7) and (9,7)
Answer by lwsshak3(11628) About Me  (Show Source):
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Write and equation of the conic section hyperbola with vertices at (1,7) AND (7,7) and foci at (-1,7) and (9,7).
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Given hyperbola has a horizontal transverse axis
Its standard form of equation:%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=coordinates of center
x-coordinate of center=4
y-coordinate of center=7
center:(4,7)
a=3
a^2=9
c=5
c^2=25
c^2=a^2+b^2
b^2=c^2-a^2=25-9=16
Equation of given hyperbola: %28x-4%29%5E2%2F9-%28y-7%29%5E2%2F16=1