Introduction to Ellipses

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.

An ellipse has the equation x squared over 16 + y squared over 25 = 1. Find the foci, vertices, and the lengths of the major and minor axes, and sketch the graph (along with the foci).
An ellipse has the equationx squared over 9 + y squared over 4 = 1. Find the foci, vertices, and the lengths of the major and minor axes, and sketch the graph (along with the foci).
An ellipse has the equation 9x squared + y squared = 9. Find the foci, vertices, and the lengths of the major and minor axes, and sketch the graph (along with the foci).
The foci of an ellipse are left paren plus or minus 2 comma 0 right paren and the vertices are left paren plus or minus 4 comma 0 right paren. Find its equation and sketch its graph.