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The graph of g(x) is the result of translating the graph of f(x)=3x six units to the right. what is the equation of g(x)?

Respuesta :

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Translation of a f(x) by h units (to the right) is given by g(x)=f(x-h)

For the case where f(x)=3x, then 
g(x)=f(x-3)=3(x-3)=3x-9
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Answer:

g(x) = 3(x-3)

Step-by-step explanation:

The parent function is given by [tex]f(x)=3x[/tex]

The function g(x) is obtained by translating the graph of f(x) by 6 units right.

We know that if f(x) is translated 'a' units right then the resultant function be f(x-a).

Here, f(x) is translated right by 6 units. Thus, we have

a = 6

And the function g(x) would be

g(x) = f(x-3)

g(x) = 3(x-3)

Thus, the equation of g(x) is g(x) = 3(x-3)

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