The equation of a hyperbola is 81x2 -y - 162x - 6y + 81 =0. a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola. b) Use the vertices and the asymptotes to graph the hyperbola. a) The center of the hyperbola is . (Type an ordered pair.) The vertices are (Type an ordered pair. Use a comma to separate answers as needed.) The transverse axis is . (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below. O A. y+ 3= +7(X- 1) O B. y+3= 19(x -1) O c. y-1= 19(X -3) O D. y+3 = = (X -1) b) Choose the correct graph below. O A. OB. O C. OD. Ay 12 12- Ay 12 12- X X X XThe equation of a hyperbola is 81x2 -y - 162x -6y + 81 =0. a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola. b) Use the vertices and the asymptotes to graph the hyperbola. ( lype an ordered pair. Use a comma to separate answers as needed.) The transverse axis is . (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below. O A. y+ 3= +7(X-1) O B. y+3= 19(x - 1) O c. y- 1= +9(x -3) O D. y+ 3 = = (X - 1) b) Choose the correct graph below. O A. OB. O C. OD. Ay 12 Ay Ay 12- 12 12- N 8 -2 8 -2 -2HW Score: 57.29%, 11.46 of 20 E Homework: Section 1.3 Homework