An equation of a hyperbola Is given. ( x + 2)2 _ (y - 4)2 -1 16 (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) center ( x, y ) = vertex ( x, y) = (smaller x-value) vertex ( x, y ) = (larger x-value) focus ( x, y ) = (smaller x-value) focus ( x, y) = (larger x-value) asymptotes (b) Sketch a graph showing the hyperbola and its asymptotes. 10 10 5 X -10 -5 10 10 15 10 -5 -10F - 10