Find the standard form of an elipse given the graph

The video tutorial explains how to determine the standard form of an ellipse, focusing on identifying whether the ellipse has a vertical or horizontal major axis. It covers the properties of major and minor axes, including their role as axes of symmetry. The tutorial guides viewers through calculating the values of A, B, and the center of the ellipse, and concludes with writing the final standard form equation.

What lies on the major axis of an ellipse?

• Only the center

• Foci and vertices

• Only the vertices

• Only the foci

How does the major axis affect the standard form of an ellipse?

• It affects the color of the ellipse

• It changes the shape of the ellipse

• It has no effect on the standard form

• It determines the placement of 'a' and 'b' in the equation

In a vertical major axis symmetry, where is 'a^2' placed in the standard form equation?

• Under the 'x' term

• Under the 'y' term

• In front of the equation

• It is not used

What is the value of 'a' if the distance of the major axis is 2A and the distance from the center to a vertex is 3?

• 4

• 2

• 1

• 3

How do you determine the center of an ellipse?

• By finding the midpoint of the minor axis

• By finding where the axes of symmetry cross

• By measuring the distance between the foci

• By finding the midpoint of the major axis