Write the equation of a hyperbola given the vertices and conjugate axis length

The video tutorial explains how to plot points and estimate values on a graph, focusing on understanding the transverse and conjugate axes. It covers identifying the horizontal transverse axis, calculating distances from the center to vertices, and understanding the conjugate axis. The tutorial concludes with forming an equation using the derived values of a squared and b squared.

What is the primary method to determine if the transverse axis is horizontal or vertical?

• By calculating the distance between the vertices

• By checking if the vertices lie on the y-axis

• By plotting the points and observing their alignment

• By checking if the vertices lie on the x-axis

How can the center of the graph be identified from the given points?

• By using the distance formula

• By finding the midpoint of the vertices

• By calculating the average of all points

• By determining the intersection of the axes

What is the distance from the center to a vertex if the transverse axis is horizontal?

• Equal to 5

• Equal to 4

• Equal to the square root of 5

• Equal to 2

What is the relationship between the conjugate axis and the co-vertices?

• The conjugate axis is twice the distance between the co-vertices

• The conjugate axis is unrelated to the co-vertices

• The conjugate axis is half the distance between the co-vertices

• The conjugate axis is equal to the distance between the co-vertices

How is the equation of the hyperbola formed using the values of a^2 and b^2?

• By adding a^2 and b^2 together

• By placing a^2 under the x-term and b^2 under the y-term

• By placing a^2 under the y-term and b^2 under the x-term

• By subtracting b^2 from a^2