Given the asymptotes and eccentricity write the equation of the hyperbola

The video tutorial explains how to determine the center of a hyperbola given its asymptotes. It discusses the role of eccentricity in identifying the values of a, b, and c, and verifies these values using the equation a^2 + b^2 = c^2. The tutorial concludes by deriving the hyperbola's equation, emphasizing the choice between horizontal and vertical orientations based on the asymptote's form.

What values are assigned to A, B, and C in the context of the equations discussed?

What type of equation is being derived, horizontal or vertical, and how do you know?