Find the standard form of the Equation of the hyperbola with the given characteristics.
1. Vertices: (−10, 3), (6, 3); foci: (−12, 3), (8, 3)
2. Vertices: (2, −2), (2, 2); foci: (2, −4), (2, 4)
3. Vertices: (3, −4), (3, 4); passes through the point (4, 6)
4. Vertices: (±6, 7);
Asymptotes: y = 1/2x + 7, y = 1/2x +7