The shape of the globe is
, where
and
are in inches.
The bulb is placed at the focus of the parabola.
\Since the
-term is squared, the parabola is vertical.
Standard form of the vertical parabola is
.
Where
\Vertex :
,
Focus :
,
Axis of symmetry :
,
Directrix :
.
The parabola equation
.
Rewrite the equation as
.
Compare the above eqation with
.
Since
, the parabola opens up.
Vertex :
,
Focus :
.
The distance from the focus to the vertex :
.
Therefore, the bulb should be placed
inches from the vertex of the globe.
The bulb should be placed
inches from the vertex of the globe.