Given the endpoints of axes to write the equation of an ellipse

The video tutorial explains how to identify and plot endpoints on a graph, determine the center of axes, and differentiate between vertices and co-vertices. It further discusses the major and minor axes of an ellipse and how to formulate the equation of an ellipse using these components. The tutorial emphasizes the importance of understanding the relationship between the center, vertices, and co-vertices to correctly apply the formula for an ellipse.

What is the first step in understanding the endpoints of an axis?

• Identifying the major axis

• Plotting the points on a graph

• Calculating the distance between points

• Finding the center of the ellipse

What do the variables H and K represent in the context of an ellipse?

• The distance between vertices

• The endpoints of the axes

• The lengths of the major and minor axes

• The coordinates of the center

How is the length 'a' determined in relation to the center of an ellipse?

• It is the distance to the co-vertices

• It is the average of the distances to the endpoints

• It is the distance to the vertices

• It is the sum of the distances to the endpoints

In the formula for an ellipse, where is 'a' placed if the major axis is vertical?

• Under the X term

• Under the Y term

• In the denominator

• In the numerator

What is the final equation of the ellipse after substituting the known values?

• X^2/9 + Y^2/16 = 1

• X^2/16 + Y^2/25 = 1

• X^2/4 + Y^2/9 = 1

• X^2/25 + Y^2/16 = 1