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

The video tutorial covers the process of analyzing a hyperbola by identifying its vertices, transverse axis, and center. It explains how to determine the transverse axis's orientation and calculate the center as the midpoint of the vertices. The tutorial also discusses the conjugate axis and how to calculate the value of B, leading to the formulation of the hyperbola's equation. The session emphasizes the importance of understanding these components to correctly graph and solve hyperbolas.

How can you determine if the transverse axis of a hyperbola is horizontal?

• By checking if the vertices are aligned vertically

• By checking if the vertices are aligned horizontally

• By finding the midpoint of the vertices

• By calculating the distance between the vertices

What is the center of a hyperbola?

• The midpoint of the conjugate axis

• The midpoint of the transverse axis

• The midpoint of the vertices

• The midpoint of the covertly

If the distance from the center to a vertex is 'a', what is the distance from vertex to vertex?

• 2a

• a

• a/2

• a^2

What does the conjugate axis represent in a hyperbola?

• The major axis

• The axis of symmetry

• The minor axis

• The transverse axis

In the equation of a hyperbola, where is 'a^2' placed if the transverse axis is horizontal?

• Under the Y term

• Under the X term

• In the numerator

• In the denominator of the Y term