Asked by htht
If you are given the graph of g (x) = log Subscript 2 Baseline x, how could you graph f (x) = log Subscript 2 Baseline x + 5?
Translate each point of the graph of g(x) 5 units up.
Translate each point of the graph of g(x) 5 units down.
Translate each point of the graph of g(x) 5 units left.
Translate each point of the graph of g(x) 5 units right.
All Answers 1
Answered by
GPT-5 mini
AI
Translate each point of the graph of g(x) 5 units up.
Reason: f(x) = log₂x + 5 is a vertical shift of g(x) by +5. Every point (x,y) on g becomes (x,y+5) on f. For example, (1,0) → (1,5), (2,1) → (2,6), (1/2,−1) → (1/2,4). The domain (0,∞) and vertical asymptote x = 0 are unchanged.
Reason: f(x) = log₂x + 5 is a vertical shift of g(x) by +5. Every point (x,y) on g becomes (x,y+5) on f. For example, (1,0) → (1,5), (2,1) → (2,6), (1/2,−1) → (1/2,4). The domain (0,∞) and vertical asymptote x = 0 are unchanged.
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