Question

1. write a rule for $g$ that represents the indicated transformations of the graph of $f$.

$f(x) = 5^{x}$; translation 2 units down, followed by a reflection in the y-axis
$g(x) = \square$

Explanation:

Step1: Translate 2 units down

Subtract 2 from $f(x)$:
$h(x) = 5^x - 2$

Step2: Reflect over y-axis

Replace $x$ with $-x$:
$g(x) = 5^{-x} - 2$

Answer:

$g(x)=5^{-x}-2$