Graph an ellipse and determine the foci, vertices, co vertices and center

The video tutorial explains how to graph an ellipse by determining its foci, vertices, and co-vertices. It begins by setting the equation to a standard form and simplifying it. The tutorial then identifies the center and axes of the ellipse, followed by graphing the ellipse using the calculated vertices, foci, and co-vertices. The final section summarizes the key points and completes the graphing process.

What is the first step in graphing an ellipse?

• Setting the equation equal to 1

• Calculating the co-vertices

• Determining the center

• Finding the foci

In the standard equation of an ellipse, what does 'a' represent?

• Distance from the center to the origin

• Distance from the center to the co-vertices

• Distance from the center to the vertices

• Distance from the center to the foci

How is the center of the ellipse determined from the equation?

• By using the values of a and b

• By calculating the average of the foci

• By using the opposite values of H and K

• By finding the midpoint of the vertices

What is the relationship between a, b, and c in an ellipse?

• c^2 = a^2 * b^2

• c^2 = a^2 - b^2

• c^2 = a^2 + b^2

• c^2 = b^2 - a^2

What is the significance of the major axis in an ellipse?

• It is perpendicular to the minor axis

• It is the longest distance across the ellipse

• It contains the center, foci, and vertices

• It is always vertical

How are the co-vertices of an ellipse determined?

• By adding and subtracting 'a' from the center

• By adding and subtracting 'b' from the center

• By adding and subtracting 'c' from the center

• By using the midpoint of the foci

What is the final step in graphing an ellipse?

• Determining the major axis

• Finding the co-vertices

• Calculating the foci

• Drawing the ellipse through the calculated points