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find the equation for a hyperbola with the vertices (2,0) and (-2,0) with the asymptotes y=7/2x
This is a hyperbola with horizontal transverse axis:
Its standard form of equation: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
length of horizontal transverse axis=4 (from -2 to 2)=2a
given slope of asymptotes for hyperbolas with horizontal transverse axis=b/a=7/2
equation of given hyperbola: