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Light from the table lamp can be modelled by equation $\"\"$ .

Rewrite the equation as $\"\"$ .

Compare the above equation with standard form of hyperbola with vertical transverse axis is $\"\"$ .

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

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Center : $\"\"$ ,

Vertices : $\"\"$ ,

Foci : $\"\"$ ,

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.

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Graph of the hyperbola $\"\"$ :

$\"\"$ .