Originally Posted by

**cb220** Hi, in our math class we're reviewing content from previous years, and I've run into a problem! This is the question:

The function r(x) = $\displaystyle \frac{1}{x+3}$ is transformed by a translation of 3 units up and 5 units to the right. The transformed function passes through the point (x,7). The value of x to the nearest hundredth is __.

The answer I'm getting for x is 6:

$\displaystyle r(x) = \frac{1}{x+3}$

$\displaystyle y = \frac{1}{(x-5) {\color{red}+ 3}}+{\color{red}3}$ Mr F says: Note the corrections in red. Do you understand why ......? r(x) --> r(x - 5) + 3 ....

[snip]