Write the equation of a hyperbola given vertices and point

The video tutorial explains how to plot points and vertices for a hyperbola, understand the transverse axis, and determine the center. It covers setting up the equation with a^2 under y, solving for b^2 using given points, and simplifying the equation. The tutorial emphasizes understanding the relationship between the center, vertices, and the transverse axis, and provides guidance on handling fractions in equations.

What does the term 'transverse axis' refer to in the context of hyperbolas?

What is the final form of the hyperbola equation derived in the discussion?

How can you simplify the hyperbola equation when fractions appear in the denominator?