Question

EspanolA lamp has the shape of a parabola when viewed from the side. The light source (which is at the focus) is 3 centimetersfrom the bottom of the lamp and the lamp is 12 centimeters deep. How wide is the lamp?? cm? cma(-a, 12)ca. 12)B12 cm| (0.3)13 cmLightsource(0,0)3 cm12 cmcmCheckSave For LaterSubmit Assignment

Answer 1

It is important to know that the definition of the parabola is

`x^2=4py`

Where p represents the focus coordinate, so p = 3. Also, we know that y = 12, let's find x

`\begin{gathered} x^2=4\cdot3\cdot12 \\ x=\sqrt[]{144} \\ x=12 \end{gathered}`

But, the wide of the lamp is 2x, so

`2x=2\cdot12=24`

Hence, the wide of the lamp is 24 cm.