The parametric equations of a hyperbola are x=h+a sect and y = k +btan t, where (h,k) is the center, a is the distance from the center to a vertex of the hyperbola, and c is the distance from the center to a focus of the hyperbola with c2 = a? +b? Find a set of parametric equations for a hyperbola with vertices at (4,0) and (- 4,0) and foci at (8,0) and (- 8,0). The parametric equations for a hyperbola are x= (Simplify your answer. Type exact answers, using radicals as needed ) and y =

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