Question

If the exponential parent function,

f(x) = 3^xis reflected across the y-a:
and then translated down 4 units,
what is the resulting function?

Answer 1

Answer:
`f(x) =3^(-x)-4`

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`