asymptotes (b) Sketch a graph showing the hyperbola and its asymptotes. 10 10 10 -5 5 10 -10 45 -5 10 O -10 LO 10 41"F Cloudy O Search .... . . . ....... 108. [-/14 Points] DETAILS SPRECALC7 11.4.021.MI. An equation of a hyperbola is given. ( x + 1)2 _ (y -2)2 -1 16 (a) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list center ( x, v ) - ( vertex ( x , 1 ) - (smaller x-value) vertex ( x , y ) - (larger x-value) focus ( x , V ) - (smaller x-value) focus ( x , * ) - (larger x-value) asymptotes (b) Sketch a graph showing the hyperbola and its asymptotes. 10 UI - 10 - 5 10 - 10 41 F O Search Cloudy .... .... .DO ....... . .. 144 % 3 4 5