More Hyperbolas

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

A hyperbola has the equation x squared over 64 minus y squared over 36 = 1. Find the vertices, foci, asymptotes, and length of the transverse axis. Then, sketch its graph.
A hyperbola has the equation 9x squared minus 4y squared = 36. Find the vertices, foci, asymptotes, and length of the transverse axis. Then, sketch its graph.
A hyperbola has the equation x squared minus 9y squared + 9 = 0. Find the vertices, foci, asymptotes, and length of the transverse axis. Then, sketch its graph.
Find an equation of the hyperbola that has foci left paren 0 comma plus or minus 10 right paren and vertices left paren 0 comma plus or minus 8 right paren .
Find an equation of the hyperbola that has foci left paren plus or minus 6 comma 0 right paren and vertices left paren plus or minus 2 comma 0 right paren.
Find an equation of the hyperbola that has foci left paren 0 comma plus or minus 10 right paren and asymptotes y = plus or minus 4 thirds x