Quick math q about conic sections specifically dont even have to solve the problem easy 10 points please!?
Here's the problem:
The filament of a headlight bulb is located at the focus, which is 0.5 inches from the vertex of its parabolic reflector. Find an equation of a cross section of the reflector assuming that the headlight is directed to the right and the vertex is at the origin.
I just don't understand what I'm supposed to be solving for. In other words I don't know what the cross section of the reflector would be. Please help thank you so much!
the cross section will be a parabola
it will be of the type
y ^ 2 = 4 a x + b
value of a and b will depend on the distance of focus from origin
also the vertex position with respect to major axis of parabola
Thank you
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