Learn how to graph an ellipse

The video tutorial explains how to analyze and graph an ellipse by identifying its center, major and minor axes, vertices, co-vertices, and foci. The instructor guides through the process of determining these elements using formulas and graphing techniques, emphasizing the importance of visualization over memorization.

What is the center of the ellipse in this example?

• (0, 1)

• (1, 1)

• (1, 0)

• (0, 0)

Which value is larger in an ellipse, a^2 or b^2?

• b^2

• a^2

• They are equal

• It depends on the ellipse

What are the values of a and b in this ellipse?

• a = 5, b = 2

• a = 2, b = 5

• a = 4, b = 3

• a = 3, b = 4

If a^2 is under the x-term, what does it indicate about the ellipse?

• The major axis is horizontal

• The ellipse is undefined

• The major axis is vertical

• The ellipse is a circle

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

• 4 units

• 3 units

• 2 units

• 5 units

How is the value of c calculated for the foci?

• 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 approximate value of sqrt(21) used for the foci?

• Between 3 and 4

• Between 4 and 5

• Exactly 4

• Exactly 5