identify the equation that translates ( y = ln(x) ) five units down.\n( y=ln(x - 5) )\n( y=ln(x)+5 )\n(…
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 the 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 (k = 5), so the translated function is (y=\ln(x)-5).
Answer:
(y = \ln(x)-5) (the fourth option)