question 3 (essay worth 2 points)\n(05.06 mc)\nthe function f(x) = log x is transformed to produce g(x) =…

Explanation:

Step1: Recall transformation rules

For a function $y = f(x)$, $y=f(x)-k$ (where $k>0$) represents a vertical - shift.

Step2: Identify the transformation

Given $f(x)=\log x$ and $g(x)=\log x - 3$. Here $k = 3$. So it is a vertical shift.

Step3: Describe the change

Since we have $g(x)=f(x)-3$, the graph of $y = f(x)$ is shifted 3 units downwards.

Answer:

The transformation is a vertical shift. The graph of $y = \log x$ is shifted 3 units downwards to get the graph of $y=\log x - 3$.