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Math Help - another dilations question

  1. #1
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    another dilations question

    has 7/x^2 been dilated from the y-axis by a factor of 1/7 or 7?
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  2. #2
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    Quote Originally Posted by chaneliman View Post
    has 7/x^2 been dilated from the y-axis by a factor of 1/7 or 7?
    I hope you got more from this thread than just an answer.

    In other words, I hope you learnt something from it.

    Since I live in hope, I will suggest that you try applying what you've learnt from it.

    Alternatively, at least give your thoughts on what you think the answer might be and why.
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  3. #3
    Senior Member DivideBy0's Avatar
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    Quote Originally Posted by chaneliman View Post
    has 7/x^2 been dilated from the y-axis by a factor of 1/7 or 7?
    I assume you mean dilated from y=\frac{1}{x^2},

    Let x' and y' be the image points after dilation and x, y be the original points before dilation.

    y'=\frac{7}{(x')^2}

    \Rightarrow \frac{y'}{7}=\frac{1}{(x')^2}

    Letting, (x,y)=(x, \frac{y'}{7} )

    That means y = \frac{y'}{7} and x'=x

    \Rightarrow y' = 7y and x' = x

    Therefore, as each new image point y' is 7 times the original point y, there has been a dilation of 7 from the x-axis.
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