Which transformation of f(x) will produce the same graph as g(x)?

A) h(x) =  f(x +1).

Step-by-step explanation:

Given : f(x) = 3x and g(x) = 3x + 3.

To find : Which transformation of f(x) will produce the same graph as g(x).

Solution : We have given

f(x) = 3x

For x = 1.

f(1) = 3 (1)

f(x) = 3.

Plug the value of f(x) =3x and f(1) = 3 in g(x).

g(x) = 3x + 3.

g(x) = f(x) + f(1).

We can write  f(x) + f(1) = f(x +1).

g(x) = f(x +1)

h(x) = f(x +1)

So, it is a new function produce the same graph as g(x).

h(x) =  f(x +1).

Therefore, A) h(x) =  f(x +1).

step-by-step explanation:

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