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 +…
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 - shift rule
For a function $y = f(x)$, a vertical shift of $k$ units down is given by $y=f(x)-k$.
Step2: Apply the rule to $y = \ln(x)$
Here, $f(x)=\ln(x)$ and $k = 5$. So the equation of the function shifted 5 units down is $y=\ln(x)-5$.
Answer:
$y=\ln(x)-5$