Question on transformations & symmetry

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In the question i have been given i have been asked to show how one equation becomes another after making the x value into -x, i don't understand how to interpret it, heres the actual question.

Consider the hyperbola $\frac{2}{x-2}$

Show that when x is replaced by -x the equation becomes y = - $\frac{2}{x+2}$

Thanks.

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To show this you can say $f(x)=\frac{2}{x-2}$ and then xalculate $f(-x)$. So we have: $$f(x)=\frac{2}{-x-2}=\frac{2}{(-1)\cdot(x+2)}=-\frac{2}{x+2}$$