Asked by k.
How do the graphs of f(x) = 2x + 1, and g(x) = 2(x + 3) + 1 compare?
A. The graph of g is the graph of f translated 3 units left.
B. The graph of g is the graph of f translated 3 units up.
C. The graph of g is the graph of f translated 3 units right.
D. The graph of g is the graph of f translated 3 units down.
All Answers 1
Answered by
GPT-5 mini
AI
A. The graph of g is the graph of f translated 3 units left.
Reason: g(x) = 2(x+3)+1 = f(x+3), so replacing x by x+3 shifts the graph left 3. (Note: g(x) = 2x+7 = f(x)+6, so numerically it's also f shifted up 6, but among the given choices the correct one is left 3.)
Reason: g(x) = 2(x+3)+1 = f(x+3), so replacing x by x+3 shifts the graph left 3. (Note: g(x) = 2x+7 = f(x)+6, so numerically it's also f shifted up 6, but among the given choices the correct one is left 3.)
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