Part B Find the equation of the directrix of the parabola found in part A.

Part A
A manufacturer is designing a flashlight. For the flashlight to emit a focused beam, the bulb needs to be on the central axis of the parabolic reflector, 3 centimeters from the vertex. Write an equation that models the parabola formed when a cross section is taken through the reflector’s central axis. Assume that the vertex of the parabola is at the origin in the xy coordinate plane and the parabola can open in any direction.
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y= 1/12(x-0)^2+0

To solve you need to use a veritcal parabola is y=1/4p(x-h)^2+k
The coordinates are h, and k for the vertex of the parabola
p is the absolute value of the distance from the vertex to the focus/directrix
The vertex is is at the origin (0,0) and the focus bulb is 3 cebtuneters away from the vertex
Now that we know the values we can fill them in
1/4p turns into 1/12 since p is 3
(x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0
All the variables were given, and we now have our equation

well the 1 and -1 are always after the 0 and the 0 is inthe middle. s thats what i would guess. but i dont know what a slope of 2 is sorry

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2

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introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

theres no picture: /

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