Given the center, vertex and co vertex, write the equation of the ellipse

The video tutorial explains how to write the equation of an ellipse by determining whether the major axis is horizontal or vertical. It begins by plotting the given center, vertex, and co-vertex to understand the ellipse's orientation. The tutorial then guides through formulating the general equation for a horizontal ellipse, calculating the values of A and B, and simplifying the equation. The process involves understanding the relationship between the center, vertices, and co-vertices, and how they align on the major and minor axes.

What are the two types of ellipses based on the orientation of the major axis?

• Central and Peripheral

• Circular and Elliptical

• Horizontal and Vertical

• Major and Minor

Which points lie on the major axis of an ellipse?

• Center and co-vertices

• Foci and co-vertices

• Vertices and co-vertices

• Center, vertices, and foci

How do you determine if the major axis of an ellipse is horizontal?

• If the foci are on the y-axis

• If the center is at the origin

• If the vertices and center lie on the x-axis

• If the co-vertices and center lie on the y-axis

What is the value of 'a' if the distance from the center to the vertex is 4?

• 16

• 8

• 2

• 4

What is the simplified form of the equation for an ellipse with a center at (0,0) and a horizontal major axis?

• x^2/3 + y^2/16 = 1

• x^2/16 + y^2/3 = 1

• x^2/9 + y^2/4 = 1

• x^2/4 + y^2/9 = 1