Question

If the exponential parent function,

Answer 1

Answer: $f(x) =3^{-x}-4$

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$, the function is translated up "k" units.

If $f(x)-k$, the function is translated down "k" units.

If $-f(x)$, the function is reflected across the x-axis.

If $f(-x)$, the function is reflected across the y-axis.

Therefore, knowing those transformations and given the exponential parent function:

$f(x) = 3^x$

If it is reflected across the y-axis and the it is  translated down 4 units, we can determine that the resulting function is:

$f(x) =3^{-x}-4$