Writing Equations of Ellipses In Standard Form (Patreon)

Writing Equations of Ellipses In Standard Form and Graphing Ellipses - Conic Sections

This algebra video tutorial explains how to write the equation of an ellipse in standard form as well as how to graph the ellipse not in standard form. it explains how to use the center of the ellipse and the foci to determine the values of a, b, and c. It also explains how to write the equation of the ellipse if you're given the 4 vertices of the ellipse - the major vertices as well as the minor vertices. Finally, it explains how to write the equation of the ellipse given the length of major axis and the length of the minor axis. This video on conic sections also mentions how to graph the ellipse if you're given the equation in nonstandard form, in which case you need to put it in standard form by completing the square. This video contains plenty of examples and practice problems.