Graph the equation of an ellipse with center at the origin and a vertical major axis

The video tutorial explains how to graph an ellipse by first identifying the general form and determining the larger values for the denominators. It covers the calculation of A, B, and C values, which are essential for identifying the major and minor axes. The tutorial also explains how to find the center of the ellipse and the importance of the major axis, which contains the vertices, foci, and center. Finally, it provides a step-by-step guide to graphing the ellipse, including plotting the vertices, foci, and co-vertices.

What is the general form of an ellipse equation when the center is at the origin?

• (x - h)^2/a^2 + (y - k)^2/b^2 = 1

• x^2/a^2 + y^2/b^2 = 1

• (x - h)^2 + (y - k)^2 = r^2

• x^2 + y^2 = r^2

How do you determine the major axis of an ellipse?

• By measuring the length of the minor axis

• By calculating the distance between the foci

• By finding the center of the ellipse

• By comparing the values of a^2 and b^2

What is the relationship between a^2, b^2, and c^2 in an ellipse?

• a^2 = c^2 - b^2

• b^2 = a^2 + c^2

• c^2 = a^2 - b^2

• a^2 = b^2 + c^2

What is the distance from the center to the vertices along the major axis?

• b

• 2a

• c

• a

Where are the co-vertices located in relation to the center of the ellipse?

• Along the major axis

• At the center

• Along the minor axis

• At the foci