Part 1 (a) Find the standard form of the equation of the ellipse, (b) find the center, vertices, foci and eccentricity of the ellipse, (c) draw the ellipse and use a graphing utility to verify your graph. 1. x2+ 9y2= 36 2. 9x2+ 4y2+ 36x -24y + 36 = 0 3. 6x2+ 2y2+ 18x -10y + 2 = 0 Part 2 Find the standard form of the equation of the hyperbola with the given characteristics. 1.Vertices: (4, 1), (4, 9); foci: (4, 0), (4, 10) 2.Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 -x Part 3 (a) Find the standard form of the equation of the hyperbola, (b) find the center, vertices, foci, and asymptotes of the hyperbola, (c) draw the hyperbola and use a graphing utility to verify your graph. 1.4x2-9y2= 36 2.9x2-y2-36x -6y + 18 = 0
Topic to be discussed: Ellipses and hyperbolas
Part 1
(a) Find the standard form of the equation of the ellipse, (b) find the center, vertices, foci and eccentricity of the ellipse, (c) draw the ellipse and use a graphing utility to verify your graph.
1. x2+ 9y2= 36
2. 9x2+ 4y2+ 36x -24y + 36 = 0
3. 6x2+ 2y2+ 18x -10y + 2 = 0
Part 2
Find the standard form of the equation of the hyperbola with the given characteristics.
1.Vertices: (4, 1), (4, 9); foci: (4, 0), (4, 10)
2.Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 -x
Part 3
(a) Find the standard form of the equation of the hyperbola, (b) find the center, vertices, foci, and asymptotes of the hyperbola, (c) draw the hyperbola and use a graphing utility to verify your graph.
1.4x2-9y2= 36
2.9x2-y2-36x -6y + 18 = 0
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 6 images
