Write the equation of ellipse given the length of the major & minor axis as well as the c

The video tutorial explains how to write the equation of an ellipse given the lengths of the major and minor axes and the center. It covers the definitions of A and B, the distances from the center to the vertices and co-vertices, and how to calculate these values. The tutorial also discusses the importance of the center in the form of H, K and provides a step-by-step guide to solving for A and B, ultimately leading to the complete equation of the ellipse.

What is the significance of knowing the lengths of the major and minor axes when writing the equation of an ellipse?

What is the formula for the equation of an ellipse when the major axis is vertical?

Explain the relationship between the center of the ellipse and the coordinates H and K.

How do you determine the values of A and B in the equation of an ellipse?

How do you calculate the squared values of A and B once you have determined their lengths?