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Math Help - Applying dilations and reflection help

  1. #1
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    Applying dilations and reflection help

    The function f is obtained from the graph of y=\frac{1}{x} by the following transformations applied in the order given.
    - a dilation by a factor of \frac{1}{2} from the y-axis
    - a reflection in the y-axis
    - a translation of 3 units parallel to the x-axis (?)
    - a translation of 1 unit parallel to the y-axis (?)

    Write down the rule for f

    Is this right for the first 2 transformations?

    y=-\frac{1}{2x}
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  2. #2
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    Quote Originally Posted by user_5 View Post
    The function f is obtained from the graph of y=\frac{1}{x} by the following transformations applied in the order given.
    - a dilation by a factor of \frac{1}{2} from the y-axis
    - a reflection in the y-axis
    - a translation of 3 units parallel to the x-axis (?)
    - a translation of 1 unit parallel to the y-axis (?)

    Write down the rule for f

    Is this right for the first 2 transformations?

    y=-\frac{1}{2x}
    Yes. f(x) --> f(2x) --> f(-2x).
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