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 $f(x)$ left 2 units.

Explanation:

Step1: Recall horizontal shift rule

For a left shift by $h$ units, replace $x$ with $x+h$ in $f(x)$.

Step2: Apply shift to given function

Here, $h=2$, so substitute $x$ with $x+2$ in $f(x)=-3^x$.
<Expression>
$g(x) = -3^{(x+2)}$
</Expression>

Answer:

$g(x) = -3^{x+2}$