How to write the standard form of a hyperbola given the vertices and through a point

The video tutorial explains how to find the standard form of a hyperbola. It begins by identifying the types of hyperbolas and determining the center using vertices and foci. The tutorial then calculates the values of 'a' and 'b', and solves for B^2 using given points. Finally, it derives the equation of the hyperbola.

What is the main important thing to do when faced with a problem where the formula is unknown?

How can you determine the type of hyperbola based on the vertices?

What is the significance of the center in relation to the vertices and foci?

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

What is the process to find 'B' when given a point on the hyperbola?

What equation can be derived once the values of 'A' and 'B' are known?

What happens when the two bottom numbers in the hyperbola equation are the same?