Using translation concepts, the formula for function g(x) is given by the following option:
D. g(x) = 2^(x - 2)
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
From the graph of the functions, we have that:
This means that g(x) is a shift right of 2 units of f(x), that is:
g(x) = f(x - 2).
Hence:
g(x) = 2^(x - 2)
The formula for function g(x) is given by the following option:
D. g(x) = 2^(x - 2)
More can be learned about translation concepts at https://brainly.com/question/4521517
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