What are the period and phase shift in the function y=4sin(3X+Pie/4)-2?

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Homework Help Overview

The discussion revolves around determining the period and phase shift of the function y=4sin(3X+Pie/4)-2, which falls under the subject area of trigonometric functions and their properties.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the standard form of the sine function and its implications for determining the period and phase shift. There are discussions about the formula for period and the necessity of understanding the standard form before applying it. Questions about the periodicity of functions are also raised.

Discussion Status

The discussion is active, with participants sharing insights about the standard form of the sine function and its relevance to finding the period. Some guidance has been offered regarding the formula for period, but there is no explicit consensus on the best approach to determine periodicity.

Contextual Notes

Participants note that understanding the standard form is crucial, and there are hints of differing opinions on the best methods to approach the problem. The original poster references textbook answers, which may not align with all participants' reasoning.

Ry122
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In the function
y=4sin(3X+Pie/4)-2
what determines the period and phase shift?
I know that 4=Amplitude
The answer in the back of the textbook says
Period=2pie/3
Phase Shift=-pie/12
 
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standard form:
A\sin (kx+\phi)
period is given by 2\pi/k
 
mjsd said:
standard form:
A\sin (kx+\phi)
period is given by 2\pi/k

Yeah but i think it is better to do it this way, because not always you can immediately determine the period of a function based on that standard form. I think it is better to first know how to come up to that standard form.

so how do we know whether a function is periodic or not?

f(x+T)=f(x), where T is the period.
so after you substitute these values you will be able to find the period of that function, which is the same as ry122 said on his op.
 
dessert =/= a mathematical constant, Ry
 

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