I need help with the questions that are circled. Thank you.

\fIn Exercises 1-8, graph the hyperbola. Find the center, lines which contain the transverse and conjugate axis, the vertices, the foci, and the equations of the asymptotes. 1 . 2. y x' 25 16 16 25 -=1 3. (x-1) ()+2) = 1 4. ( x-3) (x+2)' 10 6 = 1 4 5 5. ()-1)2 x 6. (x-2 ) ( y-1)' 16 16 =1 -=1 7. ( 1+3 ) ( x+ 1 ) =1 8. (x-2) ()-5)' 16 9 49 36 In Exercises 9-12, put the equation in standard form. Identify the location of the foci. 9. 12x2 -4y' + 40y-148 =0 10. 18y' -7x' + 72y+42x-117 =0 11. 9x' -16y' -54x+ 32y-79 =0 12. 25y' -16x' + 200y+64x -64 =0 13. 11x2 -25y' -44x-150y+94 = 0 14. 4x2 - 8y' - 40x -32y+4=0 In Exercises 13-18, find the standard form of the equation of the hyperbola. 15. Center (2, 6), Vertex (2, 2), Focus (2, 1) 16. Vertex (0, 2), Vertex (8, 2), Focus (-3, 2) 17. Foci (0,16), Vertices (0,14)18. Foci (0,14), length of conjugate axis 6 19. Vertices (2, 2), (12, 2); Endpoints of Conjugate Axis (7, 4), (7, 0) 20. Vertex (-10, 4), Asympotes y=(x+5)+4 21. The notion of eccentricity for ellipses is the same for hyperbolas in that we can define the eccentricity e for a hyperbola as distance from the center to a focus distance from the center to a vertex a. Explain why e > 1 for any hyperbola. b. Find the equation of the hyperbola with vertices (13,0) and eccentricity e=2. c. Find the eccentricity of each of the hyperbolas in Exercises 1-4. d. Describe how the shape of the hyperbola changes as the eccentricity increases. 22. "Natural Draft' cooling towers are often shaped as hyperboloids of revolution. Each vertical cross section of these towers is a hyperbola. Suppose the tower is 450 feet wide at the base, 275 feet wide at the top, and 220 feet at its narrowest point (which occurs 330 feet above the ground.) Determine the height of the tower to the nearest foot. 275 At 220 ft 330 At