True/False

A tech startup uses the exponential function f(x)=2xf(x) = 2^x to model weekly user growth. To adjust for a marketing campaign that accelerates their growth timeline, they update the model to g(x)=2x+1g(x) = 2^{x+1}. True or False: When compared on the same coordinate system, the graph of g(x)g(x) is a horizontal translation of the graph of f(x)f(x) by exactly one unit to the left.

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Updated 2026-05-22

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