Graph and identify the parts of a ellipse with vertical major axis

The video tutorial explains how to work with denominators to find a^2, B^2, and C^2, and how to graph these values. It covers the identification of major and minor axes, the calculation of vertices, co-vertices, and foci, and the importance of understanding their positions on the graph. The tutorial emphasizes the relationship between these elements and provides a step-by-step guide to plotting them accurately.

What is the relationship between a^2, b^2, and c^2 in the context of this lesson?

• a^2 = c^2 - b^2

• b^2 = a^2 + c^2

• c^2 = a^2 - b^2

• a^2 = b^2 + c^2

Where are the foci located in relation to the axes?

• On the major axis

• On both axes

• At the center

• On the minor axis

How do you determine the orientation of the major axis?

• By the center coordinates

• By the value of b^2

• By the placement of a^2 under x or y

• By the value of c^2

What is the role of the center in graphing?

• It is the reference point for shifting vertices and co-vertices

• It is where the foci are located

• It is the midpoint of the vertices

• It determines the length of the axes

How do you find the vertices on the graph?

• By adding and subtracting from the x-coordinate

• By adding and subtracting from the y-coordinate

• By multiplying the coordinates by a constant

• By dividing the coordinates by a constant

What is the process for finding co-vertices?

• Add and subtract from the x-coordinate

• Add and subtract from the y-coordinate

• Multiply the coordinates by a constant

• Divide the coordinates by a constant

Why can the distance from the center to the co-vertices be the same as to the foci?

• Because they lie on the same axis

• Because they lie on different axes

• Because they are equidistant from the center

• Because they are calculated using the same formula