Write the equation of an ellipse given the length of the major and minor axis

The video tutorial explains how to write the equation of an ellipse when given the lengths of the major and minor axes and the center. It covers the standard form of the ellipse equation, how to determine the values of a^2 and b^2, and how to graph the ellipse. The tutorial provides a step-by-step approach to understanding the components of the equation and applying them to solve the problem.

What is the general form of the equation for an ellipse with a horizontal major axis?

• (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 / b^2 + (y - k)^2 / a^2 = 1

• (x + h)^2 / a^2 + (y + k)^2 / b^2 = 1

If the center of an ellipse is at (2, -3), how would you represent the x-part of the equation?

• (x - 3)^2

• (x - 2)^2

• (x + 3)^2

• (x + 2)^2

Given a major axis length of 8, what is the value of 'a' for the ellipse?

• 16

• 2

• 8

• 4

If the minor axis length is 4, what is the value of 'b' for the ellipse?

• 1

• 2

• 4

• 8

What is the final equation of the ellipse with a center at (2, -3), a major axis length of 8, and a minor axis length of 4?

• (x - 2)^2 / 4 + (y + 3)^2 / 16 = 1

• (x - 2)^2 / 16 + (y + 3)^2 / 4 = 1

• (x + 2)^2 / 4 + (y - 3)^2 / 16 = 1

• (x + 2)^2 / 16 + (y - 3)^2 / 4 = 1