Write the equation for an ellipse give foci and co vertices

The video tutorial guides students through plotting points and labeling axes, identifying the major axis, finding the center between foci and vertices, calculating values for A and B, and formulating the equation using these values. The major axis is determined to be horizontal, and the center is located at (1,1). The tutorial explains how to use the equation C^2 = A^2 - B^2 to find unknown values and concludes with formulating the final equation.

What is the first step in plotting information on a graph?

• Determining the major axis

• Labeling the axes

• Calculating the values of A and B

• Identifying the center

Which axis contains the foci and vertices?

• Horizontal axis

• Vertical axis

• None of the above

• Diagonal axis

How is the center of the graph determined?

• By finding the midpoint of the foci

• By calculating the average of the vertices

• By using the equation of the ellipse

• By measuring the distance between co-vertices

What is the value of B in the given graph?

• 6

• 7

• 8

• 9

Which equation is used to find a^2?

• C^2 = a^2 - B^2

• A^2 = C^2 - B^2

• B^2 = a^2 - C^2

• A^2 = B^2 + C^2

Where is 'a' located in the equation when the major axis is horizontal?

• In the denominator

• In the numerator

• Under the X term

• Under the Y term

What is the final step in formulating the equation of the ellipse?

• Finding the center

• Determining the orientation of the axes

• Plugging in the values of a^2 and b^2

• Solving for a