Question

Sketch the graph of the following hyperbola. Specify the coordinates of the vertices and foci, and find the equations of the asymptotes. Use a graphing utility to check your work. y² x² 36 = 1 25 The vertices of the hyperbola arı (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) The foci of the hyperbola are (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) Determine the equations of the asymptotes, Graph the hyperbola. Choose the correct graph below.

Answer 1

dus y-2 -1. DATE PAGE 36 25 2 2 a² b² General form of a hyperbola ? Cy-k) (x-4)=1. Match the values :- hak represents then and the y offset from the origin. ; a=6 , b = 5, k=0 and h=0. Verten of the hyperbole are given as: (es, kta) and (h, k-a). ie (0,6) and ( 0, -6) (²= a + b ² = 36 to 25= 61 JGT I 7.81. - Focü are c merits from the centre. (0,7.81) and (0, -7.81) and equation of asymptotes of vertical hyperbola are given given as :

DATE PAGE y-k = t a (x-4) y-03 16(x-0) tu 2 y = + 6 a 5 XS Now, Graph : li 5 4 o 1o $ tows 10 5 1