Graph an ellipse when it is not in standard form but general form

The video tutorial explains how to graph an ellipse by first rewriting its equation into standard form. It covers the process of completing the square to create perfect square trinomials, factoring, and simplifying the equation. The tutorial then demonstrates how to graph the ellipse by identifying its center, vertices, foci, and co-vertices, and explains the significance of the major and minor axes.

How do you ensure that the equation of an ellipse equals 1?

What relationship exists between a^2, b^2, and c^2 in an ellipse?

What is the significance of the foci in an ellipse?

Describe the steps to graph an ellipse after finding its standard form.