$\"\"$

\

The hyperbola equation is $\"\"$ .

\

The hyperbola has vertical orientation.

\

The standard form of hyperbola equation is $\"\"$ , where $\"\"$ is center.

\

Vertices: $\"\"$ .

\

Foci: $\"\"$ .

\

Asymptotes: $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

The hyperbola equation is $\"\"$ .

\

Compare the above equation with $\"\"$ .

\

Center is $\"\"$ .

\

Find $\"\"$ and $\"\"$ values.

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

The value of $\"\"$ .

\

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

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Vertices of the hyperbola are $\"\"$ .

\

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

\

$\"\"$

\

Vertices are $\"\"$ and $\"\"$ .

\

Foci of the hyperbola are : $\"\"$ .

\

$\"\"$

\

Foci are $\"\"$ and $\"\"$ .

\

Asymptotes: $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Graph the center, vertices, foci, and asymptotes.

\

The hyperbola equation is $\"\"$ .

\

Solve for $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Make a table of values to sketch the hyperbola.

\ \

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

\"\"

\

$\"\"$

\

\"\"

\"\"

\

$\"\"$

\

\

$\"\"$

\

$\"\"$

\

\"\"

\

$\"\"$

\

\

$\"\"$

\

$\"\"$

\

\

Graph :

\

Draw a coordinate plane.

\

Plot the points obtained in the table.

\

Sketch the hyperbola $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Graph:

\

Graph of the hyperbola $\"\"$ is

\

$\"\"$