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

Sagot :

Given the functions:

[tex]\begin{gathered} f(x)=9*3x-2 \\ \\ g(x)=9*3x+4-2 \end{gathered}[/tex]

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:

[tex]g(x)=f(x)+d[/tex]

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

[tex][/tex]