Write the equation of an ellipse given the length of major and minor axis

The video tutorial explains how to determine the properties of an ellipse, including the major and minor axes, and how to plot them. It covers the calculation of axis lengths and the formulation of the ellipse equation, emphasizing the importance of understanding the relationship between the axes and the center. The tutorial concludes with a step-by-step process to simplify the equation of an ellipse.

What is the first step in understanding the position of the axes of an ellipse?

• Plotting the information

• Calculating the area

• Finding the foci

• Determining the eccentricity

If the length of the major axis is 8, what is the value of 'a'?

• 8

• 3

• 4

• 6

How do you determine the value of 'b' for the minor axis?

• By measuring the distance from the center to a vertex

• By calculating the area of the ellipse

• By dividing the length of the minor axis by 2

• By finding the distance between the foci

In the equation of an ellipse with a vertical major axis, under which variable is 'a' placed?

• Under y

• Under x

• Under both x and y

• Under neither x nor y

What is the final equation of the ellipse derived in the tutorial?

• x^2/6 + y^2/4 = 1

• x^2/4 + y^2/6 = 1

• x^2/9 + y^2/16 = 1

• x^2/16 + y^2/9 = 1