Question 1155123: Write the equation in standard form for the ellipses with vertices (0,12) and (0,-12), and co-vertices (-6,0) and (6,0) Answer by ikleyn(52799) (Show Source):
The center of the ellipse is at the point (0,0), the origin of the coordinate system.
The longer axis is vertical. The longer semi-axis is 12 units long.
The shorter axis is horizontal. The shorter semi-axis is 6 units long.
The canonical equation of the ellipse is
+ = 1,
or
+ = 1.
