How do you graph the ellipse #(x4)^2/8+(y2)^2/18=1# and find the center, the major and minor axis, vertices, foci and eccentricity?
1 Answer
May 2, 2018
Center:
Major axis: length
Minor axis: legnth
Vertices:
Foci:
Eccentricity:
Explanation:
Given the general formula
you have that:




This easily answers the question about center, axes and vertices.
For the rest, you have a formula for everything:
 Foci:
#c = sqrt(b^2a^2)# (in general, major axis minus minor axis)  Eccentricity =
#c/b# (in general, focus divided by major axis)