14 Use transformations of the graph of $$ f(x)=e^{x} $$ to graph the given function. Be sure to give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a graphing utiliyy to confimm the hand-drawn graphs. $$ h(x)=e^{-x} $$ Which transformation is needed to graph the function $$ h(x)=e^{-x} $$ ? Choose the correct answer below. A. The graph of $$ f(x)=e^{x} $$ should be reflected about the $$ x $$-axis. B. The graph of $$ f(x)=e^{x} $$ should be stretched vertically by a factor of -1 . C. The graph of $$ f(x)=e^{x} $$ should be stretched horizontally by a factor of -1 . D. The graph of $$ f(x)=e^{x} $$ should be reflected about the $$ y $$-axis.

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1. Start with the basic exponential function:  
   $$
   f(x)=e^{x}
   $$
   
2. For the given function:  
   $$
   h(x)=e^{-x}
   $$
   we see that the exponent $$-x$$ replaces $$x$$ in $$f(x)$$.  
   
3. Replacing $$x$$ with $$-x$$ in a function reflects the graph across the $$y$$-axis.  
   This transformation is described by:  
   $$
   f(-x)
   $$
   
4. Therefore, the correct transformation is:  
   $$
   \text{Reflect the graph of } f(x)=e^{x} \text{ across the } y\text{-axis.}
   $$

5. The correct answer is D.
To graph $$ h(x) = e^{-x} $$, reflect the graph of $$ f(x) = e^{x} $$ across the $$ y $$-axis.

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