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Math Help - Help Sketching a function

  1. #1
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    Help Sketching a function

    y=2sin(1/2x+45)+1
    How could that be translated into a table of values?

    ___X__|___Y__ ------------>
    0 | 0
    90 | 1
    180 | 0
    etc
    hopefully this makes sense.
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  2. #2
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    Prove It's Avatar
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    Re: Help Sketching a function

    Quote Originally Posted by Braedong View Post
    y=2sin(1/2x+45)+1
    How could that be translated into a table of values?

    ___X__|___Y__ ------------>
    0 | 0
    90 | 1
    180 | 0
    etc
    hopefully this makes sense.
    I don't use a table of values when sketching trigonometric functions. I make sure to have a few different colours handy (like a 4 pen) and I sketch the "standard" sine graph.

    Then I'd use a different colour to show the vertical dilation.

    Then I'd use a different colour to show the horizontal dilation.

    Then I'd use a different colour again to show the horizontal translation.

    And finally I'd use a different colour again to show the vertical translation.


    Takes a while but you get a better understanding of the functions.
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  3. #3
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    e^(i*pi)'s Avatar
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    Re: Help Sketching a function

    Quote Originally Posted by Prove It View Post
    I don't use a table of values when sketching trigonometric functions. I make sure to have a few different colours handy (like a 4 pen) and I sketch the "standard" sine graph. (blue)

    Then I'd use a different colour to show the vertical dilation. (green)

    Then I'd use a different colour to show the horizontal dilation. (orange)

    Then I'd use a different colour again to show the horizontal translation. (pink)

    And finally I'd use a different colour again to show the vertical translation. (purple)


    Takes a while but you get a better understanding of the functions.
    In case a picture helps (the purple graph is your final graph):

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