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Math Help - horizontal compression / stretch

  1. #1
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    horizontal compression / stretch

    Please explain the following.

    The following function is given y=x^3+5x
    Write the the equation to represent the following transformation:
    1. horizontal stretch as a factor of 2. y=(1/2 x)^3 + 5(1/2 x) Is this correct?
    2. horizontal compression as a factor of 2? I do not know. If a factor is greater than 1, isn't it always horizontal stretch. Shouldn't the factor be less than 1, in order for it to be a compression, like 1/2.

    Please explain whether there is a mistake in the assignment, if there is no mistake, please explain how to write the equation.

    Thank you.
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  2. #2
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    Quote Originally Posted by oceanmd View Post
    Please explain the following.

    The following function is given y=x^3+5x
    Write the the equation to represent the following transformation:
    1. horizontal stretch as a factor of 2. y=(1/2 x)^3 + 5(1/2 x) Is this correct? Mr F says: Correct.

    2. horizontal compression as a factor of 2? I do not know. If a factor is greater than 1, isn't it always horizontal stretch. Shouldn't the factor be less than 1, in order for it to be a compression, like 1/2. Mr F says: They probably want y = (2x)^3 + 5(2x).

    Please explain whether there is a mistake in the assignment, if there is no mistake, please explain how to write the equation.

    Thank you.
    ..
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