can someone help with modeling sinusoidal functions: phase shift

[formal cave]

I don’t understand how to do it at all.

[formal cave]

Like how do i do this?

[bronze walrus]

Hello! First you have to remember that the average height of a sinusoid is the value of its axis

[formal cave]

Alright got that down, midline

[bronze walrus]

it also says that 5 is the distance from the maximum / minimum to the axis

so 5 is the ...

[formal cave]

Amplitude

[bronze walrus]

so far you should have this

[formal cave]

I always have trouble determining whether the Amplitude is positive or negative though.

[bronze walrus]

well in this case, it starts going up

so the amplitude is 5

[bronze walrus]

5 sin(2pi/T (t - c) ) + 20

yes?

$5\sin\left(\frac{2\pi}{T}(t-c)\right)-20$

[formal cave]

Isn’t it -20?

[bronze walrus]

yeah I read it wrong, sry

[formal cave]

Alright np

[pale mantle]

ELeonardo

[bronze walrus]

oh you have T too

[formal cave]

What is T? The period?

[bronze walrus]

yes

[formal cave]

How do i find the period?

[bronze walrus]

it's in the problem 🤔

[formal cave]

Is it the again every two seconds part

[bronze walrus]

yes

[formal cave]

Sine function reaches average value twice every period, so 2x2?

4?

[bronze walrus]

yes correct

[formal cave]

Ohh alr

[bronze walrus]

the problem also mentions a shift to the right

which is c

[formal cave]

Then I subtract 0.2 from t because it shifted to the right so it’d be t-0.2

[bronze walrus]

yes and that's it I think 🤔

[formal cave]

Oh dang

It’s so hard for me to do though

Like even if I get this problem I don’t get the others at all:(

Thanks though

I’ve been stuck on this topic for two days

[bronze walrus]

sketching the sinusoid and recognizing its parts might help 🤔

[formal cave]

I don’t know how to get started on this question, i want to do it without help but I don’t know where to start at all.

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