Solve 2sin(2x-π/2) +1 Equation for Sine Curve

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SUMMARY

The discussion focuses on solving the equation 2sin(2x - π/2) + 1, specifically addressing the phase shift of the sine curve. The phase shift is determined to be π/2, indicating a rightward shift on the x-axis. The participants clarify that the phase shift is calculated using the formula c/b, where c represents the phase shift constant. The conversation emphasizes the importance of understanding the relationship between the phase shift and the sine function's behavior.

PREREQUISITES
  • Understanding of sine functions and their properties
  • Familiarity with phase shifts in trigonometric functions
  • Knowledge of amplitude and vertical translation in sine curves
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the formula for phase shifts in trigonometric functions
  • Learn about the effects of amplitude and vertical translation on sine curves
  • Explore the concept of periodicity in trigonometric functions
  • Practice solving various sine equations with different parameters
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Students and educators in mathematics, particularly those studying trigonometry and sine functions, as well as anyone looking to deepen their understanding of phase shifts and their implications in graphing sine curves.

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A sine curve with a period of π , an amplitude of 2, a right phase shift of π/2, and a vertical translation up 1 unit

what i have so far is 2sin(2x- ____ ) +1... i just don't know how to solve the phase shift part...please help and give me the steps. thanks!
 
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krutika said:
A sine curve with a period of π , an amplitude of 2, a right phase shift of π/2, and a vertical translation up 1 unit

what i have so far is 2sin(2x- ____ ) +1... i just don't know how to solve the phase shift part...please help and give me the steps. thanks!

The phase shift is the horizontal shift on the x-axis and is equal to $$\frac{\pi}{2}$$. A movement to the right is minus and to the left is plus.

The way I remember it is that it's opposite from a number line. You can verify this for yourself by checking f(pi/2) and seeing what you get
 
SuperSonic4 said:
The phase shift is the horizontal shift on the x-axis and is equal to $$\frac{\pi}{2}$$. A movement to the right is minus and to the left is plus.

The way I remember it is that it's opposite from a number line. You can verify this for yourself by checking f(pi/2) and seeing what you get

okay but i still don't understand how to find it? like i know the formula is c/b? but i don't get how to find the number?
 

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