Question

the graph of $f(x) = -3^{x}$ is given below. write the equation of a function $g(x)$ which would shift the graph of $f(x)$ down 5 units.
answer
$g(x) = $

Explanation:

Step1: Recall vertical shift rule

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

Step2: Substitute $f(x)$ and $k=5$

$g(x) = -3^x - 5$

Answer:

$g(x) = -3^x - 5$