$\"\"$

\

The hyperbola equation is $\"\"$

\

The standard form of the equation is $\"\"$

\

Center is $\"\"$ ,

\

Vertices $\"\"$ ,

\

Foci is $\"\"$ ,

\

Transfers axis $\"\"$ ,

\

Conjugate axis $\"\"$ ,

\

Asymptotes $\"\"$ ,

\

$\"\"$ relationship is $\"\"$ ,

\

$\"\"$ .

\

$\"\"$

\

The hyperbola equation is $\"\"$ .

\

Rewrite the equation as $\"\"$ .

\

Compare it to $\"\"$ .

\

Center is $\"\"$ ,

\

Vertices $\"\"$ ,

\

Foci is $\"\"$ ,

\

Transfers axis $\"\"$ ,

\

Conjugate axis $\"\"$ ,

\

Asymptotes $\"\"$ ,

\

$\"\"$ ,

\

$\"\"$ relationship is $\"\"$ ,

\

$\"\"$ .

\

$\"\"$

\

The hyperbola equation is $\"\"$ .

\

Solve for $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Make a table of values to sketch the hyperbola.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	\ $\"\"$ \	$\"\"$
$\"\"$	\ $\"\"$ \	$\"\"$
$\"\"$	\ $\"\"$ \	$\"\"$

\

Graph :

\

Plot the center, vertices and foci.

\

Graph the tranverse axis and conjugate axis.

\

Graph the hyperbola equation $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Graph the equation $\"\"$ :

\

$\"\"$