Given vertices and asymptotes, write the equation of the hyperbola

The video tutorial explains how to graph hyperbolas by focusing on vertices and asymptotes. It covers determining the transverse axis, calculating the center, and finding parameters a and b. The tutorial concludes with formulating the hyperbola equation using these values.

What is the first step in graphing a hyperbola?

• Calculate the center

• Determine the equation

• Identify the asymptotes

• Draw the given information

If the vertices of a hyperbola lie on a horizontal line, what can be inferred about the transverse axis?

• It is undefined

• It is diagonal

• It is horizontal

• It is vertical

What is the formula for the asymptotes of a horizontal hyperbola?

• x = K ± (b/a) * (y - H)

• y = H ± (a/b) * (x - K)

• x = H ± (a/b) * (y - K)

• y = K ± (b/a) * (x - H)

How do you determine the value of 'a' in the context of hyperbolas?

• It is the distance from the center to the vertices

• It is the distance from the center to the foci

• It is the distance from the center to the directrix

• It is the distance from the center to the asymptotes

What is the relationship between 'a' and 'b' in the formula for asymptotes of a hyperbola?

• a/b is used in the formula

• a is always greater than b

• b is always greater than a

• b/a is used in the formula