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What is the standard form of the hyperbola with foci at (±4,0) and vertices at (±3,0)?
This is an equation of a hyperbola with horizontal transverse axis:
Its standard form of equation: (x-h)^2,a^2-(y-k)^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
From vertices,length of transverse axis=6=2a
From foci, 2c=8