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 a^2 and b^2, determining the major axis, writing the standard form of the equation, and finding the center. The tutorial also demonstrates calculating the values of a, b, and c, and plotting the ellipse by identifying vertices, co-vertices, and foci. The process includes approximating non-integer values for accurate graphing.

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

• The difference between the denominators

• The larger denominator under x or y

• The smaller denominator under x or y

• The sum of the denominators

In the standard form of an ellipse equation, what do h and k represent?

• The lengths of the axes

• The coordinates of the center

• The distances to the foci

• The coordinates of the vertices

How do you calculate the value of c in an ellipse?

• c = a - b

• c = a + b

• c^2 = a^2 + b^2

• c^2 = a^2 - b^2

What is the distance from the center to each vertex in this ellipse?

• 6 units

• 12 units

• 18 units

• 24 units

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

• Along the major axis

• Along the minor axis

• At the center

• At the foci

What is the approximate value of the foci distance from the center in this example?

• 6 units

• 14.4 units

• 10.4 units

• 12 units

When plotting the foci, why might you need to approximate their position?

• Because the foci are not always whole numbers

• Because the foci are the same as the vertices

• Because the foci are on the minor axis

• Because the foci are always at the center