# SOLUTION: What is the standard form of the hyperbola with foci at (±4,0) and vertices at (±3,0)?

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 Click here to see ALL problems on Quadratic-relations-and-conic-sections Question 623488: What is the standard form of the hyperbola with foci at (±4,0) and vertices at (±3,0)?Answer by lwsshak3(6517)   (Show Source): You can put this solution on YOUR website!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: center: (0,0) From vertices,length of transverse axis=6=2a a=3 a^2=9 .. From foci, 2c=8 c=4 c^2=16 .. c^2=a^2+b^2 b^2=c^2-a^2=16-9=7 b=√7 .. Equation: x^2/9-y^2/7=1