Graph an ellipse and identify it's parts

The video tutorial explains how to set up and solve an equation by dividing coefficients and reducing fractions. It covers identifying the center of the equation, determining the major and minor axes, and plotting them. The tutorial also explains how to calculate vertices, co-vertices, and foci, emphasizing the importance of understanding the relationship between these elements and the equation's structure.

What is the first step in setting up the equation for an ellipse when coefficients are not the same?

• Multiply by 20

• Add 20

• Subtract 20

• Divide by 20

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

• By finding the midpoint of the axes

• By looking at the coefficients of x and y

• By setting x and y to zero

• By identifying the opposite values of h and k

What indicates that the major axis of an ellipse is vertical?

• The center is at the origin

• a^2 is under the y term

• b^2 is larger than a^2

• a^2 is under the x term

What lies on the major axis of an ellipse?

• Co-vertices

• Minor axis

• Vertices and foci

• Only the center

How do you find the co-vertices of an ellipse?

• By moving left and right from the center

• By moving up and down from the center

• By using the distance c

• By calculating the midpoint of the major axis

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

• c^2 = a^2 * b^2

• c^2 = b^2 - a^2

• c^2 = a^2 - b^2

• c^2 = a^2 + b^2

How do you determine the foci of an ellipse?

• By finding the midpoint of the co-vertices

• By using the center and moving along the major axis

• By using the center and moving along the minor axis

• By calculating the average of a and b