The equation is .

Divide both sides of the equation with .

The hyperbola equation is .

Compare the above equation with .

The hyperbola center is at the origin .

.

So the equation is in the standard form of the hyperbola.

The center of the hyperbola is 

Find .

.

The hyperbola has a transverse axis parallel to -axis.

The foci of the hyperbola is .

The vertices of the hyperbola is .

The rectangle formed by the points are

.

.

The extensions of the diagonals of the rectangle are the asymptotes of the hyperbola.

Asymptotes of the hyperbola are .

Graph :

(1) Draw the coordinate plane.

(2) Draw the equation of the hyperbola.

(3) Plot the foci and vertices.

(4) Form a rectangle containing the points  and .

(5) Draw the asymptotes of the hyperbola.

The center of the hyperbola is .

The hyperbola has a transverse axis parallel to - axis.

The vertices of the hyperbola is .

The foci of the hyperbola is .

Asymptotes of the hyperbola are .

Graph of the hyperbola is \ \

.