identify the equation that translates $y = \\ln(x)$ five units down.\n$y = \\ln(x - 5)$\n$y = \\ln(x)+5$\n$y…
identify the equation that translates $y = \\ln(x)$ five units down.\n$y = \\ln(x - 5)$\n$y = \\ln(x)+5$\n$y = \\ln(x + 5)$\n$y = \\ln(x)-5$
Answer
Explanation:
Step1: Recall vertical - translation rule
For a function $y = f(x)$, translating it $k$ units down gives $y=f(x)-k$.
Step2: Apply the rule to $y = \ln(x)$
Here $f(x)=\ln(x)$ and $k = 5$. So the translated function is $y=\ln(x)-5$.
Answer:
$y=\ln(x)-5$