Step 1:

The ellipse equation is .

Rewrite the equation as

Compare it to standard form of horizontal ellipse with center at origin .

Where ,   is length of semi major axis and is length of semi minor axis.

vertices , co-vertices and foci

Where

In this case Center ,

Vertices 

Co-vertices

Foci

Step 2:

Graph:

Draw the coordinate plane.

Plot the center, vertices, co-vertices and foci of the ellipse.

Then sketch the ellipse by using the semi major axis length is 5 units and semi minor axis length is 2 units.

Solution:

Vertices  and foci .

.