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Math Help - Trig transformations

  1. #1
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    Trig transformations

    Im having some trouble sketching trig graphs with translations in the direction of the y-axis.

    Here is an example from my textbook..

    y = 2 sin3x + 1

    Is there a good step-by-step method in working these types of questions out? Especially when it comes to working out the x-ints after a vertical translation of 1 unit?

    That would be greatly appreciated.
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  2. #2
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    Quote Originally Posted by steph_r View Post
    Im having some trouble sketching trig graphs with translations in the direction of the y-axis.

    Here is an example from my textbook..

    y = 2 sin3x + 1

    Is there a good step-by-step method in working these types of questions out? Especially when it comes to working out the x-ints after a vertical translation of 1 unit?

    That would be greatly appreciated.
     y = a \sin(bx+c) + d

    a changes the amplitude of the wave by a factor of a. (for example  2 \sin(x) is the same as  \sin(x) except the peak and minimum values are 2 and -2, not 1 and -1.)

    b changes the frequency of the sine wave by a factor of b. ( for example  \sin(2x) has twice the frequency of  \sin(x) . So it only takes \pi radians (or 180 degrees) for a full wave, instead of  2\pi (or 360 degrees)).

    c translates the graph along the x axis to the left by c places.

    d translates the graph along the y axis upwards by d places.
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  3. #3
    Junior Member
    Joined
    Mar 2008
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    X intercepts

    Thank you for your assistance.

    How would i go about calculating the xint(s)?

    For example, the intercepts in the following graph, with the equation...
    y = 2 sin3x + 1

    Trig transformations-maths.jpg
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