Find an equation for the hyperbola with center (-1, 4), vertex (3, 4), and focus (4, 4).
A. (x + 1)² / 9 - (y - 4)² / 16 = 1
B. (x - 1)² / 16 - (y + 4)² / 9 = 1
C. (x + 1)² / 16 - (y - 4)² / 9 = 1
D. (x + 1)² / 16 + (y - 4)² / 9 = 1