Subjects algebra

Exponential Shift F63D71

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1. The problem asks to describe the transformations to obtain the graph of $g(x) = 6^{x - 7}$ from the graph of $f(x) = 6^x$. 2. Recall the general rule for horizontal shifts in exponential functions: $f(x - h)$ shifts the graph of $f(x)$ to the right by $h$ units if $h > 0$, and to the left by $|h|$ units if $h < 0$. 3. Here, $g(x) = 6^{x - 7}$ can be seen as $f(x - 7)$, which means the graph of $f$ is shifted to the right by 7 units. 4. There are no vertical shifts, reflections, or stretches involved since the base and the exponent's coefficient remain unchanged. 5. Therefore, the correct transformation is: The graph of $g$ is the graph of $f$ shifted 7 units to the right. Final answer: B. The graph of g is the graph of f shifted 7 unit(s) to the right.