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Math Help - Cosine Functions: Altering dimensions/scaling

  1. #1
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    Cosine Functions: Altering dimensions/scaling

    a[cos(bx + c)] + d

    There are two cosine functions. One is higher than the other. There is a fixed domain such as 10 < x < 10 so that the area between the curves creates an image.

    How do I, for example, double the dimensions of this image? And how can I play around with the variables of each curve to create any image size that I want?
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  2. #2
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    any guess?
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  3. #3
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    a controls the height of the function
    b controls the period, or how long it takes to complete a cycle
    c moves the graph to the left or right
    d moves the graph up or down.
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  4. #4
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    Quote Originally Posted by terr13 View Post
    a controls the height of the function
    b controls the period, or how long it takes to complete a cycle
    c moves the graph to the left or right
    d moves the graph up or down.
    Yes, thank you. Now I need to figure out how to double the size of an image. Let me give you an example:

    3cos(2x-2)+3
    and
    3cos(2x-2)+6
    where the domain is 0 to 4.
    This creates like a tilted 'N' shape between the two curves. How can I double this image?
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  5. #5
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    So we cannot change the domain or can we?
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  6. #6
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    You can change the domain if you are trying to double the size of the image. I asume the domain will be twice as big(?) Sorry for not being clear
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  7. #7
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    Then double the image = double the height and double the width? Width in this case is the period. Double a and double b.
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  8. #8
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    Woops, to double the period you need to halve b.
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