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anonymous
 5 years ago
Write the sine function with the given amplitude, period, phase shift, and vertical shift. amplitude: 2; period: π; phase shift: 1/8π ; vertical shift:3
I know this is how it starts f(t) =2sin. And I know that it ends with +3 but I don't know how to do the middle part.
anonymous
 5 years ago
Write the sine function with the given amplitude, period, phase shift, and vertical shift. amplitude: 2; period: π; phase shift: 1/8π ; vertical shift:3 I know this is how it starts f(t) =2sin. And I know that it ends with +3 but I don't know how to do the middle part.

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Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0The way you find the period is to know the fact that sin (x) has a period of 2pi.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Given y=sin(axb), the period is 2pi/a and the phase shift is b

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0so if the period is half of that, it means that the input is moving as twice as faster, so it would look like sin (2x)

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0exactly what Xavier said, so if you have other problems like this one you can use the formula period = 2pi/a so if it is pi. pi = 2pi/a <=> a = 2.

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0The phase shift is the toughest among all of the numbers. Remember that f(xc) shifts the graph horizontally and f(ax) compresses the graph horizontally ? When both of these happen, you have to write it in the form f(a(xc)) which is horizontally shifted AND compressed.

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0so since the phase shift is 1/(8pi), it is very tempting to write the answer as sin(2x+1/(8pi)) however, the actual answer is sin(2(x+1/(8pi)) I like to leave it like this, but if you need to follow the form y = sin(ax+b) then sin(2(x+1/(8pi)) = sin(2x+1/(4pi)). Just follow your instructions :)

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0oops wrong area to post 4 sorry

Yuki
 5 years ago
Best ResponseYou've already chosen the best response.0so the answer ends up being y= 2sin(2(x+1/(8pi))) +3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you so much for all your help!
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