Answer:
g(x) is shifted 5 units to the right and 2 units up
Step-by-step explanation:
We know that the translations equation is:
f(x) = [tex]\frac{a}{x-h}+k[/tex]
The denominator is responsible for the translation on the x-axis, and (k) is responsible for the translation on the y-axis.
Take that (x) is always lying, and lies about the positive and negative sign in the denominator. So whenever we see a sign we take its opposite. In this case we have :
[tex]\frac{1}{x-5}+2[/tex]
Now that we know x is lying, we will take the translation of the denominator as 5 units to the right. After the fraction is over we have a +2, so we know that there is a translation of 2 units up.
Hope this helped......
