How to graph an ellipse for conic sections

The video tutorial explains the step-by-step process of graphing an ellipse. It covers the conversion of equations into center form, identification of the center, and determination of values A, B, and C. The tutorial emphasizes plotting the center, vertices, and axes, highlighting the importance of the major axis. The process is summarized with a focus on understanding the relationship between the major and minor axes and the placement of vertices and foci.

What is the first step in graphing an ellipse?

• Finding the foci

• Identifying the center

• Rewriting the equation into center form

• Plotting the vertices

In the context of an ellipse, what does the value 'A' represent?

• The length of the major axis

• The length of the minor axis

• The distance from the center to the vertices

• The distance from the center to the co-vertices

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

• If the center is at the origin

• If the equation is in standard form

• If the larger value is under the x-term

• If the larger value is under the y-term

What is the relationship between the major and minor axes in an ellipse?

• They are parallel

• They are perpendicular

• They are equal in length

• They intersect at the foci

What is the significance of the foci in an ellipse?

• They are points that lie on the major axis

• They are the same as the vertices

• They lie on the minor axis

• They determine the length of the minor axis

How do you find the co-vertices of an ellipse?

• By moving along the major axis

• By finding the midpoint of the major axis

• By moving along the minor axis

• By using the equation of the ellipse

What is the final step in graphing an ellipse?

• Plotting the vertices and co-vertices

• Rewriting the equation

• Finding the value of C

• Identifying the center