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anonymous

  • one year ago

write the equation of the function represented by the following graph medal

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  1. anonymous
    • one year ago
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  2. jim_thompson5910
    • one year ago
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    See if you can determine * The amplitude * The period

  3. anonymous
    • one year ago
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    3 and pi/4

  4. jim_thompson5910
    • one year ago
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    The period is actually pi/2

  5. jim_thompson5910
    • one year ago
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    But you have the right amplitude

  6. anonymous
    • one year ago
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    got it then what next

  7. jim_thompson5910
    • one year ago
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    The y-intercept is not 0, and the relative extrema is at the y-intercept, so we have a cosine function here Since the y-intercept is negative, this means that the cosine function has a negative coefficient

  8. jim_thompson5910
    • one year ago
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    General form y = A*cos(Bx-C)+D C = 0 and D = 0, so don't worry about those |A| = amplitude T = 2pi/B is the period

  9. jim_thompson5910
    • one year ago
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    with T = 2pi/B you can solve for B to get B = 2pi/T plug in the period T=pi/2 and simplify

  10. anonymous
    • one year ago
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    b=0 and t=0? @jim_thompson5910

  11. jim_thompson5910
    • one year ago
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    T = pi/2 is the period its not t = 0

  12. jim_thompson5910
    • one year ago
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    \[\Large B = \frac{2\pi}{T}\] \[\Large B = \frac{2\pi}{\pi/2}\] \[\Large B = ??\]

  13. anonymous
    • one year ago
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    b= 90 degrees

  14. jim_thompson5910
    • one year ago
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    idk how you're getting that

  15. anonymous
    • one year ago
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    http://www.wolframalpha.com/input/?i=+pi%2F2

  16. anonymous
    • one year ago
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    0

  17. jim_thompson5910
    • one year ago
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    can you simplify this expression? \[\Large \frac{2\pi}{\pi/2}\]

  18. anonymous
    • one year ago
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    1

  19. jim_thompson5910
    • one year ago
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    not quite

  20. jim_thompson5910
    • one year ago
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    \[\Large \frac{2\pi}{\pi/2} = \frac{2\pi}{1} \times \frac{2}{\pi} = ???\]

  21. anonymous
    • one year ago
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    0

  22. anonymous
    • one year ago
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    @jim_thompson5910

  23. jim_thompson5910
    • one year ago
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    no, forget about the pi think of the pi as x if you have to

  24. jim_thompson5910
    • one year ago
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    2x/1 times 2/x simplifies to what?

  25. anonymous
    • one year ago
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    4

  26. jim_thompson5910
    • one year ago
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    so B = 4

  27. jim_thompson5910
    • one year ago
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    what is A?

  28. anonymous
    • one year ago
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    1

  29. jim_thompson5910
    • one year ago
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    no, remember that above I said that |A| = amplitude and you said earlier that the amplitude was 3

  30. anonymous
    • one year ago
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    sorry it 3

  31. jim_thompson5910
    • one year ago
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    it's actually -3 to make sure that the y-intercept is -3

  32. jim_thompson5910
    • one year ago
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    so A = -3 B = 4

  33. jim_thompson5910
    • one year ago
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    y = A*cos(Bx-C)+D A = -3 B = 4 C = 0 D = 0

  34. anonymous
    • one year ago
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    so its y=-3cos(4x):)

  35. anonymous
    • one year ago
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    y=-3cos(4x) is the answer

  36. jim_thompson5910
    • one year ago
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    yes correct

  37. anonymous
    • one year ago
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    thanks so much !!!

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