How Do You Determine Horizontal Shifts in Sinusoidal Functions?

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Homework Help Overview

The discussion revolves around determining horizontal shifts in sinusoidal functions, specifically how to identify phase shifts by analyzing graphs. The original poster expresses confusion regarding the reasoning behind specific shifts indicated in their textbook.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss how to visually interpret phase shifts in sinusoidal graphs, questioning the methods used to determine the shifts of 15 and 80 units to the right. There are hints about considering the normal sine function as a reference point.

Discussion Status

Some guidance has been offered regarding focusing on the middle of the graph and the expected behavior of the sine function without shifts. The original poster indicates they are preparing to submit their work, suggesting engagement with the material.

Contextual Notes

The original poster references specific shifts as stated in their textbook, indicating reliance on external materials for understanding the concepts discussed.

DoomBringer2
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1. Hello everyone, I am having some trouble determining precise phase shifting by observing the graphs.

dRt4B.jpg


book says this graph has horizontally shifted to the right by 15 units. How was this determined? I can't figure it out!

second this graph:
hLXCQ.jpg

Says the graph was shifted 80 units to the right but again how is this determined? Please help thnx
 
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Welcome to PF!

Hail DoomBringer2! Welcome to PF! :smile:
DoomBringer2 said:
book says this graph has horizontally shifted to the right by 15 units. How was this determined? I can't figure it out!
…
Says the graph was shifted 80 units to the right but again how is this determined?

Concentrate on the middle of the graph …

at zero phase shift, it should have that middle value at time 0. :wink:
 
Hint: What does the normal sin function look like without any left or right shifts?
 
thanks a lot guys and gals, I am about to submit my work. hopefully I got it right lol
 

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