Question

Please Help. Functions and Relations. The graph of the parent function, f(x)= 1/x is shifted 7 units up and 2 units to the right to create the graph of g(x). What function is g(x)?

Answer 1

Explanation

The following are two rules of transformation of functions:

• f(x) + k moves the function ,k units up,.

,

• f(x - h) moves the function ,h units right,.

From the word problem, we know that the parent function is shifted 7 units up and 2 units to the right to create the graph of g(x). So, using the above rules, we have:

$\begin{gathered} k=7 \\ h=2 \\ g(x)=\frac{1}{x-2}+7 \end{gathered}$Answer

A.

$g(x)=\frac{1}{x-2}+7$