Write the equation of a hyperbola given the foci and length of transverse axis

The video tutorial explains how to plot points and identify the transverse axis, focusing on determining whether it is horizontal or vertical. It covers labeling foci and vertices, calculating distances A, B, and C, and using these to derive the hyperbola equation. The tutorial emphasizes the importance of understanding the differences between hyperbola and ellipse formulas and provides a step-by-step guide to writing the final equation.

Describe how to graph a hyperbola given its center, vertices, and foci.

What is the general equation format for hyperbolas, and how does it differ from that of ellipses?