Find the standard equation of the hyperbola that satisfies the given conditions. 1. center (-4,2), conjugate axis of length 26, focus at (-4, -4) 2. foci (12, -1) and (-16, -1), the absolute difference of the distance of any point from the foci is 20 3. vertex at (3,1), foci 9 units above and below the center (3, -5) 4. asymptotes y = 3x - 20 and y = -3x + 4, vertex at (-1, -8)