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anonymous

  • one year ago

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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  1. anonymous
    • one year ago
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    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.

  2. anonymous
    • one year ago
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    What type of equation is this do you know? What is the Amplitude? What is the Period? and what is the Phase Shift?

  3. anonymous
    • one year ago
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    This is known as a sinusoidal function. Do you know the Amplitude or the Period or the Phase Shift?

  4. anonymous
    • one year ago
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    Never heard of it, but give me a moment to figure it out :D

  5. anonymous
    • one year ago
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    So the amplitude is 2 and vertical shift is 4 and about to calculate the period and phase shift

  6. anonymous
    • one year ago
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    KK

  7. anonymous
    • one year ago
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    Then the period is pi and phase shift is pi/2

  8. anonymous
    • one year ago
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    Correct. So we have a lot of information for this function now

  9. anonymous
    • one year ago
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    So how would we find the minimum and y-value?

  10. anonymous
    • one year ago
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    The minimum value is going to be the lowest point

  11. anonymous
    • one year ago
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    Right.

  12. anonymous
    • one year ago
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    Oh so wouldn't the amplitude be the minimum?

  13. anonymous
    • one year ago
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    https://www.desmos.com/calculator/lujy3w0zcs Here is the graph

  14. anonymous
    • one year ago
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    Oh okay! I've got it now! Thank you so much for your help!

  15. anonymous
    • one year ago
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    yw

  16. anonymous
    • one year ago
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    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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