1.
Find the center, vertices, and foci of the ellipse with equation = 1. (2 points)
Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-8, 0), (8, 0)
Center: (0, 0); Vertices: (0, -10), (0, 10); Foci: (0, -8), (0, 8)
Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-6, 0), (6, 0)
Center: (0, 0); Vertices: (0, -10), (0, 10); Foci: (0, -6), (0, 6)
2.
Find the center, vertices, and foci of the ellipse with equation 3×2 + 6y2 = 18. (2 points)
Center: (0, 0); Vertices: ; Foci:
Center: (0, 0); Vertices: ; Foci:
Center: (0, 0); Vertices: (-6, 0), (6, 0); Foci:
Center: (0, 0); Vertices: (0, -6), (0, 6); Foci:
3.
Graph the ellipse with equation = 1. (2 points)
4.
Find
an equation in standard form for the ellipse with the vertical major
axis of length 18 and minor axis of length 10. (2 points)
= 1
= 1
= 1
= 1
5.
An elliptical riding path is to be built on a rectangular piece of property, as shown below.
The rectangular piece of property measures 10 mi by 4 mi. Find an
equation for the ellipse if the path is to touch the center of the
property line on all 4 sides. (2 points)
