How to identify the parts of a hyperbola when the center is not at the origin

The video tutorial explains how to identify and plot the elements of an ellipse, including the center, transverse axis, vertices, and foci. It covers the calculation of a^2, b^2, and c^2, and demonstrates how to sketch asymptotes. The instructor also corrects a mistake regarding the distance to the foci, emphasizing the importance of accuracy in plotting.

What is the value of 'a' if a^2 is given as 9 in the ellipse equation?

• 2

• 3

• 4

• 5

How do you determine the direction of the transverse axis in an ellipse?

• By the length of the major axis

• By the value of b

• By the position of the center

• By the variable under which a^2 is located

What is the distance from the center to the vertices if 'a' is 3?

• 3 units

• 4 units

• 5 units

• 6 units

How do you calculate the position of the foci in an ellipse?

• By adding and subtracting 'b' from the center

• By adding and subtracting 'c' from the center

• By adding and subtracting 'a' from the center

• By adding and subtracting 'd' from the center

What is the formula for the asymptotes of an ellipse with a horizontal transverse axis?

• y = ±(b/a)x

• y = ±(a/b)x

• y = ±(a/b)x + k

• y = ±(b/a)x + h

What was the corrected distance from the center to the foci?

• 6

• 5

• 3

• 4

How does the correction of the foci distance affect the co-vertices?

• It changes both horizontal and vertical positions

• It does not affect them

• It changes their vertical position

• It changes their horizontal position