An Ellipse Centered at the Origin In Exercises 19-26, find the standard form of the equation of the ellipse with the given characteristics and center at the origin. 20. 4 0, 2 (-2, 0) -6 6 (2, 0) 10, NIW -4 0 See + 9. . 12 22. Vertices: (0, +8); foci: (0, +4) 24. Foci: (+2, 0); major axis of length 10 26. Vertical major axis; passes through points (0, 6) and (3, 0)procedures and Problem Solving where do th Matching an Equation with a Graph In Exercises 7-10, match the equation with its graph. [The graphs are labeled (a), (b), (c), and (d).] 6 (b) a 6 -8 10 -9 9 -6 -6 8 (d) -12 12 - 10 8 -8 -4 7. V2 x 2 = = 1 9 8. 25 25 9 9. (x - 1)2 1 2 (x + 1 ) 2 (y - 2) 2 = 1 16 = 1 10. 16 9 4Finding the Center, Vertices, Foci, and Asymptotes of a Hyperbola In Exercises 11-20, find the center, vertices, foci, and asymptotes of the hyperbola, and sketch its graph using the asymptotes as an aid. Use a graphing utility to verify your graph. 12. = 1 9 25\fUsing the Standard Equation of an Ellipse In Exercises 37-48, (a) find the standard form of the equation of the ellipse, (b) find the center, vertices, foci, and eccentricity of the ellipse, and (c) sketch the ellipse. Use a graphing utility to verify your graph. 38. 16x2 + y2 = 16 40. 4x2 + 49y2 - 196 = 0 42. 9x2 + 4y2 - 54x + 40y + 37 = 0