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.