What is the amplitude, period, phase shift and vertical displacement of $y = sin (x - \frac{π}{4})$ $y=sin(x-pi/4)$ ?

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What is the amplitude, period, phase shift and vertical displacement of $y = sin (x - \frac{π}{4})$ $y=sin(x-pi/4)$ ?

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Answer 1 · 2017-07-26T19:29:22

$1, 2 π, \frac{π}{4}, 0$ $1,2pi,pi/4,0$

Explanation:

$the standard form of the sine function$ $"the standard form of the "color(blue)"sine function "$ is.

$color(red)(bar(ul(|color(white)(2/2)color(black)(y=asin(bx+c)+d)color(white)(2/2)|)))$

$"where amplitude "=|a|," period "=(2pi)/b$

$"phase shift "=-c/b" and vertical shift "=d$

$"here "a=1,b=1,c=-pi/4,d=0$

$rArr" amplitude "=1,"period "=2pi$

$"phase shift "=-(-pi/4)=pi/4$

$"there is no vertical shift"$

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What is the amplitude, period, phase shift and vertical displacement of $y = sin (x - \frac{π}{4})$ $y=sin(x-pi/4)$ ?

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What is the amplitude, period, phase shift and vertical displacement of $y = sin (x - \frac{π}{4})$ $y=sin(x-pi/4)$ ?