Learn how to graph the equation of an ellipse when the center is at the origin

The video tutorial explains how to graph an ellipse by simplifying its equation to standard form, identifying the center, and calculating the vertices, co-vertices, and foci. It covers the relationship between A, B, and C values and demonstrates how to graph the ellipse using these points.

What is the first step in simplifying the equation of an ellipse?

• Divide both sides by the same number

• Multiply both sides by the same number

• Add a constant to both sides

• Subtract a constant from both sides

How do you determine the orientation of the major axis in an ellipse?

• By comparing the coefficients of x^2 and y^2

• By checking the sign of the constant term

• By comparing a^2 and b^2

• By looking at the center coordinates

What are the coordinates of the center of the ellipse in this example?

• (2, 2)

• (-1, -1)

• (1, 1)

• (0, 0)

How do you find the distance from the center to the vertices?

• By adding a and b

• By taking the square root of b^2

• By taking the square root of a^2

• By subtracting b from a

What is the relationship used to find the foci of an ellipse?

• c^2 = a^2 + b^2

• c^2 = a^2 - b^2

• c^2 = b^2 - a^2

• c^2 = a^2 * b^2

What is the approximate value of sqrt(5) used for the foci?

• Between 4 and 5

• Between 3 and 4

• Between 2 and 3

• Between 1 and 2

Which axis do the center, vertices, and foci of the ellipse lie on?

• X-axis

• Y-axis

• Z-axis

• None of the above