Given the vertices and focus find the standard form of the hyperbola

The video tutorial explains how to find the standard form of a hyperbola by using two different formulas based on whether the transverse axis is horizontal or vertical. It involves graphing given points to determine the axis, finding the center, and calculating the values of A, B, and C. The tutorial concludes with writing the equation for a horizontal transverse axis and finalizing the hyperbola equation.

What are the two different formulas mentioned for determining the standard form of a hyperbola?

How can you determine whether the transverse axis is horizontal or vertical?

What is the center of the hyperbola based on the given vertices?

What is the equation of the hyperbola when the transverse axis is horizontal?

Explain the relationship between A, B, and C in the context of hyperbolas.

What is the formula used to find B squared in relation to C squared and A squared?

How do you derive the final equation of the hyperbola from the given points?