Solve a Short Parabola Question with 2π/3 Period | Example Problem

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Homework Help Overview

The discussion revolves around a problem involving a function that is initially thought to be a parabola but is later identified as a sine function. Participants are exploring the characteristics of the function, including its amplitude, period, phase shift, domain, range, and vertical shift.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants question the nature of the function, with some suggesting it may not be a parabola but rather a constant value. Others express confusion about how to graph the function and whether it is meaningful to assign a period to a non-periodic function.

Discussion Status

The discussion is ongoing, with participants providing insights and questioning assumptions about the function's characteristics. There is a suggestion that the original problem may contain an error, prompting further exploration of the correct formulation of the function.

Contextual Notes

Participants are working under the assumption that the problem requires them to analyze a sine function, despite initial confusion regarding its classification as a parabola. There is uncertainty about the accuracy of the problem as presented in the source material.

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http://img158.exs.cx/img158/5127/prob9cx.jpg

2pi/3 the period right?
 
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[tex]3sin(2\pi /3)-4=-3.89...[/tex]

It's not even a function (or a pretty boring one), it's a number And why do you associate a sine with a parabola?
 
I accidently made the assumption is was a parabola because the question asks for
amplitude, period, phase shift, domain, range, and vertical shift (but I know you can do this for a sine graph to)

Do you know how to graph it on a graphing calculator? I do not recall how to solve this type of problem =(
 
Well as I said it's a pretty boring function, it's a number. It's just a straight horizontal (if you plot y on the vertical axis) line through the point [tex]y=3sin(2\pi /3)-4=-3.89...[/tex]. I'm not sure it's meaningful to assign a period to it as it's not periodic.
 
there must be a mistake in the question, I am sure the book does not want us to graph a straight line over one full cycle?

I think it should be 3sin(x (not 0) - 2pi/3) -4
That would make much more sense

Thanks for your help will
 
Last edited:

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