Describe the hyperbola $y^2-\frac{{(x-1)}^2}{4}=1$.

Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (-8,0), (8,0); Vertices: (-3,0), (3,0)

Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (0,-4), (0,4); Vertices: (0, -2), (0,2)

Find the standard form of the equation of each hyperbola satisfying the given conditions. Endpoints of transverse axis: (0, −6), (0, 6); asymptote: y=2x

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. x²/9−y²/25=1

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. x²/100−y²/64=1

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. $9y^2-25x^2=225$

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes.$y=\pm \sqrt{x^2-2}$