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 3x2 + 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)