Answer:
The standard form of the ellipse is .
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
(1)
If we know that and
, then the coordinates of the center are, respectively:
The length of each semiaxis is, respectively:
The standard equation of the ellipse is described by the following formula:
Where:
,
- Coordinates of the center of the ellipse.
,
- Length of the orthogonal semiaxes.
If we know that ,
,
and
, then the standard form of the ellipse is: