# Thread: another dilations question

1. ## another dilations question

has 7/x^2 been dilated from the y-axis by a factor of 1/7 or 7?

2. Originally Posted by chaneliman
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.

3. Originally Posted by chaneliman
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.