Foci of the ellipse and -intercepts are

In this case -intercepts are co-vertices of the ellipse.

Co-vertices are end points of minor axis.

Mid point of co-vertices is center of the ellipse.

The -coordinate of foci is 0.So the required ellipse is vertical.

The standard form of vertical ellipse is .

Where

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

Center is , vertices

Co-vertices

Foci .

Where

Step 2:

Foci =

Substitute in above equation.

Co-vertices =

Substitute in above equation.

Vertices of the ellipse are

Step 3:

Substitute , and in standard form.

The equation is

Graph:

Draw the coordinate plane.

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

Sketch the ellipse by using semi major axis length and semi minor axis length.