A flashlight has a parabolic roflector that reflects light waves from a bulb loc

Question

A flashlight has a parabolic roflector that reflects light waves from a bulb located at the focus. The figure shows a vertical cross section of such a parabolic reflector with the bulb at the focus. Suppose the bulb is 0.2 inclh from the vertex of the reflector, and the distance across the widest part of the reflector is 4 inches. Suppose also that the parabola formed by the cross section is located on a grid (The figure may not be drawn to scale.) so that the vertex is at (0,0). x4 in o.2 in The equation for the parabola is

Explanation / Answer

equation will be of the form (y-k)2=4a(x-h)

vertex (h,k)=(0,0)

distance from vertex to focus ,a=0.2

=> (y-0)2=4*0.2(x-0)

=> y2=0.8x

The equation for the parabola is y2=0.8x

PLEASE RATE IF HELPFUL.PLEASE COMMENT IF YOU HAVE ANY DOUBT

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