An engineer is designing headlight units for

Chapter 0, Problem Chapter 9.36

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An engineer is designing headlight units for automobiles.The unit has a parabolic surface with a diameter of 12 inches and a depth of 3 inches. The situation is illustrated in the figure, where a coordinate system has been superimposed. What is the equation of the parabola in this system? Where should the light source be placed? Describe this placement relative to the vertex.

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