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 - translation rule
For a function (y = f(x)), a vertical translation (k) units down is given by (y=f(x)-k).
Step2: Identify the function and (k) value
The given function is (y = \ln(x)) and (k = 5) (since we want to translate 5 units down).
Step3: Apply the rule
Substituting (f(x)=\ln(x)) and (k = 5) into the vertical - translation formula (y=f(x)-k), we get (y=\ln(x)-5).
Answer:
D. (y = \ln(x)-5)