$\"\"$

\

The equation of hyperbola is $\"\"$ .

\

Convert the equation of hyperbola into standard form by completing the squares.

\

$\"\"$

\

Standard form of the equation of hyperbola with center $\"\"$ is $\"\"$ .

\

Here $\"\"$ .

\

Compare the equation with standard form.

\

$\"\"$

\

For an hyperbola: $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Center: $\"\"$ .

\

Foci: $\"\"$ $\"\"$ .

\

Vertices: $\"\"$ .

\

Asymptotes: $\"\"$ and $\"\"$ .

\

$\"\"$ and $\"\"$

\

$\"\"$ and $\"\"$

\

$\"\"$ and $\"\"$ .

\

$\"\"$

\

Graph:

\

Plot the points center: $\"\"$ , Foci: $\"\"$ and Vertices: $\"\"$ .

\

Draw the asymptotes $\"\"$ and $\"\"$ .

\

Graph the hyperbola $\"\"$ :

\

$\"\"$

\

$\"\"$

\

Center: $\"\"$ , Foci: $\"\"$ and Vertices: $\"\"$ .

\

Graph of the hyperbola and asymptotes is

\

$\"\"$