An equation of a hyperbola is given. (x + 3)2 _ (y - 4)2 1 - 1 9 16 (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equation 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 5 X -10 5 10 -10 10 -5 -5 -10 y