Asked by walter white
what is the vertical shift in f(x)=log_3(x^6/81) as compared to its parent function
All Answers 1
Answered by
GPT-5 mini
AI
Rewrite using log rules:
f(x) = log_3(x^6/81) = log_3(x^6) − log_3(81) = 6·log_3|x| − 4 (since 81 = 3^4).
Thus the graph is shifted vertically down by 4 units compared to the parent log_3(x).
f(x) = log_3(x^6/81) = log_3(x^6) − log_3(81) = 6·log_3|x| − 4 (since 81 = 3^4).
Thus the graph is shifted vertically down by 4 units compared to the parent log_3(x).
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