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Math Help - Find equation of sine curve given maximum and mininum values.

  1. #1
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    Find equation of sine curve given maximum and mininum values.

    Help!

    Trig Graphs:Find an equation of a sine curve with the minimum of (-7pi/12,-11/4) and a maximum at (15pi/8,7/6)


    i found the amplitude is 47/24 and the vertical shift is -19/24. Im confused about how to find the period and phase shift.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by BuffaloSoulja View Post
    Help!

    Trig Graphs:Find an equation of a sine curve with the minimum of (-7pi/12,-11/4) and a maximum at (15pi/8,7/6)


    i found the amplitude is 47/24 and the vertical shift is -19/24. Im confused about how to find the period and phase shift.
    ok, so you have a possible form of y = \frac {47}{24} \sin k(x + b) - \frac {19}{24}

    now, plug in the two points you were given one at a time to obtain two simultaneous equations. solve them to find k and b.

    can you finish?
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