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Math Help - angry with trig graphing :(

  1. #1
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    angry with trig graphing :(

    ok i need a lot of help with trig graphing. lets say that we have an equation like: y = sin1/3(x-pi/4)-2... when ur graphing this equation, how do u no what the increments of the x-axis are going to be on the graph??? yes i do no the basics of the x-axis of sinx like pi/2, pi, 3pi/2, and 2pi... but when the equation gets transformed like the one in my example, how do u figure out what your x-axis is going to be??? obviously pi/2, pi, 3pi/2, and 2pi will be to simple to use when graphing this equation... help please
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  2. #2
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    Quote Originally Posted by hungzai View Post
    ok i need a lot of help with trig graphing. lets say that we have an equation like: y = sin1/3(x-pi/4)-2... when ur graphing this equation, how do u no what the increments of the x-axis are going to be on the graph??? yes i do no the basics of the x-axis of sinx like pi/2, pi, 3pi/2, and 2pi... but when the equation gets transformed like the one in my example, how do u figure out what your x-axis is going to be??? obviously pi/2, pi, 3pi/2, and 2pi will be to simple to use when graphing this equation... help please
    You have \sin \left(\frac{1}{3} \left( x - \frac{\pi}{4} \right) \right) - 2.

    So the basic sine graph has been dilated horizontally by a factor of 3 and then shifted to the right by pi/4 units and then shifted down by 2 units.
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