This is a very simple transformation problem and can be solved by observation. The correct answer is Option D where g(x) = f(x-3) + 6. See the attached graph for the full question.
What is a transformation?
In mathematics, transformation is the process of converting one figure, expression, or function into another of equivalent value.
What is the explanation for the above problem?
Note that on an x-axis, moving past zero to the left gets you into the negative, and vice versa.
On the y-axis moving upwards past zero gets you into the positive.
Recall that g(x) is a transformation of f(x). This means that the original image is f(x).
Notice that F(x) is transformed three degree beyond 0 on the -axis and 6 degrees beyond zero on the y-axis. Hence the correct equation is:
g(x) = f(x-3) + 6.
Learn more about transformation at;
https://brainly.com/question/1620969
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