Graph the equation of the ellipse when given the center is at the origin

The video tutorial explains how to graph an ellipse given the equation X^2/144 + Y^2/36 = 1. It covers identifying the values of a^2 and b^2, determining the major and minor axes, and calculating the values of A, B, and C. The tutorial also demonstrates how to plot the ellipse by identifying and plotting the vertices, co-vertices, and foci, including an estimation method for non-integer values.

What determines the orientation of the major axis in an ellipse?

• The sum of the denominators

• The difference between the denominators

• The larger denominator under x or y

• The smaller denominator under x or y

How do you find the center of an ellipse from its equation?

• By calculating the average of the denominators

• By setting the equation equal to zero

• By looking at the terms subtracted from x and y

• By identifying the coefficients of x and y

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

• c^2 = a^2 + b^2

• c^2 = a^2 - b^2

• c^2 = a^2 / b^2

• c^2 = a^2 * b^2

What is the distance from the center to a vertex of the ellipse?

• The value of b

• The value of a

• The value of c

• The sum of a and b

How are the co-vertices of an ellipse positioned relative to the center?

• At the foci

• At the center

• Along the minor axis

• Along the major axis

What is the approximate value of the foci distance in this ellipse?

• 8

• 10

• 12

• 6

How should you handle non-integer foci values when plotting an ellipse?

• Approximate their position

• Plot them at the center

• Ignore them

• Use only integer values