Ellipses

Example 2

Graph the following ellipse. Find its vertices, co-vertices and foci.

ellipses_ex2-1

Step 1 . Write the equation in standard form.

Divide each side of the equation by 100 and simplify.

ellipses_ex2-2

Step 2. Identify the vertices, co-vertices and foci.

Since the larger denominator is with the x variable, the major axis lies along the x-axis.

ellipses_ex2-3


Step 3. Graph the ellipse.

ellipses_ex2-4