Question

the graph of $f(x)=\frac{1}{x}$ is given below. write the equation of a function $g(x)$ which would shift the graph of $f(x)$ down 3 units.

Explanation:

Step1: Recall vertical shift rule

For a vertical shift down by $k$ units, $g(x) = f(x) - k$.

Step2: Substitute $f(x)$ and $k=3$

$f(x)=\frac{1}{x}$, so $g(x)=\frac{1}{x}-3$.

Answer:

$g(x)=\frac{1}{x}-3$