Given the length of the transverse axis, and foci, write the equation of a hyperbola

The video tutorial explains how to write the equation of a hyperbola by first plotting the foci and identifying the transverse axis. It then guides through finding the center and vertices, calculating the necessary values, and finally writing the hyperbola equation. The tutorial emphasizes understanding the relationship between a^2, b^2, and c^2, and how to apply these to form the correct equation for a vertical hyperbola.

How do you find the value of B^2 when given the values of A and C in a hyperbola?

What is the formula for the equation of a hyperbola, and how does it differ for horizontal and vertical hyperbolas?