Write the equation for an ellipse give foci and co vertices

The video tutorial guides students through plotting points and labeling axes, identifying the major axis, finding the center between foci and vertices, calculating values for A and B, and formulating the equation using these values. The major axis is determined to be horizontal, and the center is located at (1,1). The tutorial explains how to use the equation C^2 = A^2 - B^2 to find unknown values and concludes with formulating the final equation.

What equation is used to relate C, A, and B?

Describe the process of deriving the equation for a horizontal major axis.

What is the final equation derived for the graph, and what do the variables represent?