How to write the equation of an ellipse given the vertices and foci

The video tutorial covers plotting vertices and understanding the major axis of an ellipse. It explains how to formulate the equation of an ellipse and calculate the values of A, B, and C. The lesson concludes with a discussion on the importance of these calculations in graphing ellipses.

What is the first step when provided with information about a parabola or ellipse?

• Make an assumption

• Plot the information

• Determine the axis

• Calculate the foci

Which components lie on the major axis of an ellipse?

• Vertices and foci

• None of the above

• Only the vertices

• Only the foci

How can you determine the orientation of an ellipse?

• By checking the length of the minor axis

• By identifying the larger number under the variable in the equation

• By measuring the distance between foci

• By calculating the area of the ellipse

What is the relationship between the vertex and the vertices in an ellipse?

• The vertex is at the midpoint of the vertices

• The vertex is not related to the vertices

• The vertex is at one end of the vertices

• The vertex is outside the vertices

What is the formula used to relate C, A, and B in an ellipse?

• C^2 = A^2 * B^2

• C^2 = A^2 - B^2

• C^2 = A^2 + B^2

• C^2 = B^2 - A^2

How do you find the value of B in the ellipse equation?

• By dividing A by C

• By using the equation C^2 = A^2 - B^2

• By subtracting C from A

• By adding A and C

What does the larger number under the variable in the ellipse equation indicate?

• The ellipse is skewed

• The ellipse is circular

• The ellipse is horizontal

• The ellipse is vertical