http://www.ck12.org Chapter 9. Conics
- 9x^2 − 36 x+ 4 y^2 + 16 y+ 52 = 36
Find the equation for each ellipse based on the description. - An ellipse with vertices (4, -2) and (4, 8) and minor axis of length 6.
- An ellipse with minor axis from (4, -1) to (4, 3) and major axis of length 12.
- An ellipse with minor axis from (-2, 1) to (-2, 7) and one focus at (2, 4).
- An ellipse with one vertex at (6, -15), and foci at (6, 10) and (6, -14).
A bridge over a roadway is to be built with its bottom the shape of a semi-ellipse 100 feet wide and 25 feet high at
the center. The roadway is to be 70 feet wide. - Find one possible equation of the ellipse that models the bottom of the bridge.
- What is the clearance between the roadway and the overpass at the edge of the roadway?