posted by M .
Find the standard equation of an ellipse with the given characteristics and sketch the graph.
Vertices at (0,-5), and (0,5); Foci at (0,-4)and (0,4).
The ellipse is centred at the origin (0,0).
The standard formula for the ellipse is then
2a=distance between vertices on the major axis
Distance between foci
To find b, we use the relation
So the equation for the given ellipse is