Question

select the correct answer. in which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4? a. right and up b. down c. left and down d. up

Explanation:

Step1: Recall vertical shift rules

For a function $g(x) = f(x) + k$, if $k<0$, the graph shifts down by $|k|$ units.

Step2: Identify $k$ in given function

Here, $g(x)=f(x)-4$, so $k=-4$.

Step3: Determine shift direction

Since $k=-4<0$, the graph shifts down 4 units.

Answer:

B. down