Let's look at the basic graph of y = ln(x).
The graph is shown below:
The graph shown in the problem is shifted 3 units left and 4 units down, with respect to the parent function (graph shown above).
If we have a function f(x),
• The function f(x + a) is f(x) shifted 'a' units left
,
• The function f(x - a) is f(x) shifted 'a' units right
,
• The function f(x) + a is f(x) shifted 'a' units up
,
• The function f(x) - a is f(x) shifted 'a' units down
Using the translation rules above, we can write the shifted function as,
[tex]\begin{gathered} f(x)=\ln x \\ -------- \\ \text{SHIFTED function is,} \\ y=\ln (x+3)-4 \end{gathered}[/tex]
From the answer choices, "_" is correct.
Answer
_
