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).
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Given hyperbola has a horizontal transverse axis
Its standard form of equation:{{{(x-h)^2/a^2-(y-k)^2/b^2=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: {{{(x-4)^2/9-(y-7)^2/16=1}}}