Ellipse Properties and Calculations

The video tutorial explains how to graph an ellipse with its center at the origin. It covers identifying the A and B values from the equation, plotting the ellipse on a graph, and calculating the foci. The tutorial also discusses the major and minor axes and provides a step-by-step guide to drawing the ellipse accurately.

What is the center of the ellipse in the given equation?

• At (1, 1)

• At the origin

• At (0, 1)

• At (1, 0)

In the equation x^2/4 + y^2/16 = 1, which value represents a^2?

• 2

• 4

• 16

• 8

What is the value of b if b^2 is 4?

• 2

• 4

• 16

• 8

Which axis is the major axis of the ellipse?

• Z-axis

• Y-axis

• None

• X-axis

Where are the vertices of the ellipse located?

• (0, ±4)

• (±2, 0)

• (±4, 0)

• (0, ±2)

How do you calculate the value of c for the foci?

• a^2 - b^2

• a^2 * b^2

• a^2 + b^2

• b^2 - a^2

What is the simplified form of the square root of 12?

• 4√3

• 3√4

• 3√2

• 2√3

What is the length of the major axis?

• 8

• 2

• 4

• 16

What is the length of the minor axis?

• 4

• 8

• 2

• 16

Which value is under the y term in the ellipse equation?

• 4

• 16

• 2

• 8