Given endpoints of the major and minor axis write the equation of the ellipse

The video tutorial explains how to write the equation of an ellipse given endpoints of its major and minor axes. It covers plotting the information to determine the ellipse's orientation, finding the center using midpoints, and calculating the values of A and B. Finally, it demonstrates how to write the ellipse equation using these values.

What is the first step in solving the problem of finding the equation of an ellipse?

• Find the area of the ellipse

• Determine the foci of the ellipse

• Plot the given information

• Calculate the distance between endpoints

What is the orientation of the ellipse if the major axis is vertical?

• Circular

• Horizontally elongated

• Vertically elongated

• Diagonal

How can you find the center of the ellipse?

• By calculating the midpoint of the major axis

• By measuring the distance between the foci

• By using the distance formula

• By finding the area of the ellipse

What is the formula used to find the midpoint of a line segment?

• (x1 / x2) / 2, (y1 / y2) / 2

• (x1 + x2) / 2, (y1 + y2) / 2

• (x1 - x2) / 2, (y1 - y2) / 2

• (x1 * x2) / 2, (y1 * y2) / 2

What does 'a' represent in the ellipse equation?

• Distance from one endpoint to another

• Distance from the center to the vertices

• Distance from the center to the foci

• Distance from the center to the co-vertices

What is the value of 'b' in the ellipse equation?

• Distance from the center to the foci

• Distance from the center to the co-vertices

• Distance from the center to the vertices

• Distance from one endpoint to another

What is the final form of the ellipse equation?

• (X - H)^2 / A^2 + (Y - K)^2 / B^2 = 1

• (X - H)^2 / B^2 + (Y - K)^2 / A^2 = 1

• (X + H)^2 / A^2 + (Y + K)^2 / B^2 = 1

• (X + H)^2 / B^2 + (Y + K)^2 / A^2 = 1