How do you write an equation of an ellipse in standard form given foci = (0,-3) and (0,3);length of major axis: 10?
Foci are on the major axis. So, the major axis is x-axis . Center is the midpoint of the the line joining the foci, (0, 0).
So, the equation of the ellipse is
where a and b are the lengths of semi-major and semi-minor axes.
The eccentricity e = (distance between the foci)
The semi-minor axis b = a