Describe verbally the transformations that can be used to obtain the graph of $g$ from the graph of $f$ .
$g (x) = \frac{1}{3} e^{- (x + 7)}; f (x) = e^{- x}$

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Final Answer: The graph of $g (x)$ can be obtained from the graph of $f (x)$ by a horizontal shift to the left by 7 units and a vertical compression by a factor of 1/3.

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Step 1 ：The function g(x) can be obtained from the function f(x) by applying two transformations.

Step 2 ：First, the graph of f(x) is horizontally shifted to the left by 7 units. This is represented by the '+7' inside the exponent in g(x).

Step 3 ：Second, the graph of f(x) is vertically compressed by a factor of 1/3. This is represented by the '1/3' multiplier outside the exponent in g(x).

Step 4 ：Final Answer: The graph of $g (x)$ can be obtained from the graph of $f (x)$ by a horizontal shift to the left by 7 units and a vertical compression by a factor of 1/3.

Describe verbally the transformations that can be used to obtain the graph of g from the graph of f.g(x)=13e−(x+7);f(x)=e−x

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Describe verbally the transformations that can be used to obtain the graph of $g$ from the graph of $f$ .
$g (x) = \frac{1}{3} e^{- (x + 7)}; f (x) = e^{- x}$