Exercise 1.4.15

Question

Starting with the graph of $y=e^{x}$, write the equation of the graph that results from

\begin{enumerate}[label=(\alph*)]
\item shifting 2 units downward;

\item  shifting 2 units to the right;

\item  reflecting about the $x$-axis;

\item  reflecting about the $y$-axis;

\item  reflecting about the $x$-axis and then about the $y$-axis.
\end{enumerate}

Khagan Gulusoy · Accepted Answer

\begin{enumerate}[label=(\alph*)]
\item $y=e^{x}-2$;
\item  $y=e^{x-2}$;
\item  $y=-e^{x}$;
\item  $y=e^{-x}$;
\item  $y=-e^{-x}$.
\end{enumerate}

Answers