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- anonymous

Can someone help me find the minimum value and y-value of this function: g(x) = 2 sin(2x - π) + 4?

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- anonymous

Can someone help me find the minimum value and y-value of this function: g(x) = 2 sin(2x - π) + 4?

- chestercat

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- anonymous

I'm supposed to find the minimum of to this function and another one but I've solved the other one, but I'm not even sure how to do this, I never even learned anything similar to it and I've read my lesson back and forth.

- anonymous

What type of equation is this do you know? What is the Amplitude? What is the Period? and what is the Phase Shift?

- anonymous

This is known as a sinusoidal function. Do you know the Amplitude or the Period or the Phase Shift?

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- anonymous

Never heard of it, but give me a moment to figure it out :D

- anonymous

So the amplitude is 2 and vertical shift is 4 and about to calculate the period and phase shift

- anonymous

KK

- anonymous

Then the period is pi and phase shift is pi/2

- anonymous

Correct. So we have a lot of information for this function now

- anonymous

So how would we find the minimum and y-value?

- anonymous

The minimum value is going to be the lowest point

- anonymous

Right.

- anonymous

Oh so wouldn't the amplitude be the minimum?

- anonymous

https://www.desmos.com/calculator/lujy3w0zcs Here is the graph

- anonymous

Oh okay! I've got it now! Thank you so much for your help!

- anonymous

yw

- anonymous

The amplitude is the stretch so it will not be the minimum. It so happen to be that way with this one but increase the vertical shift from 4 to 6 in the graph and see what happens

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