Question

A function is translated from f(x)=9⋅3x−2 to g(x)=9⋅3x+4−2. What is the effect on f(x)?

Answer 1

Given the functions:

$\begin{gathered} f(x)=9*3x-2 \\ \\ g(x)=9*3x+4-2 \end{gathered}$

Let's determine the transformation that occurred from f(x) to g(x).

Apply the transformation rules for functions.

After a shift d units to theupwards, we have:

$g(x)=f(x)+d$

Thus, from the given translation, we can see that the function f(x) is translated 4 units to get the function g(x).