Write the equation of an ellipse given the center vertex and co vertex

What is the first step in writing the equation of an ellipse when given the center, vertex, and co-vertex?

• Calculate the foci

• Determine the length of the major axis

• Plot the given points on an X and Y axis

• Find the midpoint of the vertices

In the context of an ellipse, what does the distance from the center to a vertex represent?

• The distance to the foci

• The value of 'a'

• The value of 'b'

• The length of the minor axis

How can you determine the orientation of the major axis of an ellipse?

• By calculating the area of the ellipse

• By measuring the distance between the co-vertices

• By finding the midpoint of the major axis

• By checking if the vertices are aligned horizontally or vertically

Which formula is used when the major axis of an ellipse is vertical?

• (x - h)^2/a^2 + (y - k)^2/b^2 = 1

• (x - h)^2/b^2 + (y - k)^2/a^2 = 1

• (x - h)^2 + (y - k)^2 = 1

• (x - h)^2/a^2 - (y - k)^2/b^2 = 1

What are the values of a^2 and b^2 in the final equation of the ellipse?

• a^2 = 12, b^2 = 11

• a^2 = 11, b^2 = 12

• a^2 = 144, b^2 = 121

• a^2 = 121, b^2 = 144