Answer :
The characterization of the graph of function g(x) is 5 units translation down.
What is a graph?
A graph can be defined as a visual representation or a diagram that represents data or values.
The equations of the functions are given as
f(x) = 1/3x+1
f(x) - 1 = 1/3x
g(x) = 1/3(6x) + 1
g(x) = (1/3x)6 + 1
Substitute f(x) - 1 = 1/3x in the equation g(x) = (1/3x)6 + 1
So, we have
g(x) = (f(x) - 1)6 + 1
g(x) = 6f(x) - 6 + 1
g(x) = 6f(x) - 5
The above rule signifies that:
The function g(x) is a translation of the function f(x)
Thus, the unit of the translation is 5 and the direction of the translation is down.
To learn more about the transformation click here:
brainly.com/question/27224272
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