anonymous
  • anonymous
Can someone help me find the minimum value and y-value of this function: g(x) = 2 sin(2x - π) + 4?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • 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
  • 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
  • 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
  • anonymous
Never heard of it, but give me a moment to figure it out :D
anonymous
  • anonymous
So the amplitude is 2 and vertical shift is 4 and about to calculate the period and phase shift
anonymous
  • anonymous
KK
anonymous
  • anonymous
Then the period is pi and phase shift is pi/2
anonymous
  • anonymous
Correct. So we have a lot of information for this function now
anonymous
  • anonymous
So how would we find the minimum and y-value?
anonymous
  • anonymous
The minimum value is going to be the lowest point
anonymous
  • anonymous
Right.
anonymous
  • anonymous
Oh so wouldn't the amplitude be the minimum?
anonymous
  • anonymous
https://www.desmos.com/calculator/lujy3w0zcs Here is the graph
anonymous
  • anonymous
Oh okay! I've got it now! Thank you so much for your help!
anonymous
  • anonymous
yw
anonymous
  • 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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