Find the standard form of the equation of the ellipse satisfying the following conditions:
Major axis vertical with length:16
length of minor axis = 8
center is located at (5,-5)
You need to learn this fact:
The standard form of the equation of an ellipse with
the major axis vertical with center (h,k), major axis
2a and minor axis 2b is
The center of your ellipse is (h,k) = (5,-5)
The major axis of your ellipse = 16 = 2a, so a = 8
The minor axis of your ellipse = 8 = 2b, b = 4
So just plug in.
Edwin