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# Make a rough sketch of the graph of the function. Do not use a calculator. Just use the graphs given in Figures 3 and 13 and, if necessary, the transformations of Section 1.3.$y = 1 - \frac{1}{2} e^{-x}$

## We start with the graph of $y=e^{x}$ (Figure 16 ) and reflect about the $y$ -axis to get the graph of $y=e^{-x}$. Then we compress the graph vertically by a factor of 2 to obtain the graph of $y=\frac{1}{2} e^{-x}$ and then reflect about the $x$ -axis to get the graph of $y=-\frac{1}{2} e^{-x} .$ Finally, we shift the graph upward one unit to get the graph of $y=1-\frac{1}{2} e^{-x}$

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##### Lily A.

Johns Hopkins University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

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### Video Transcript

Oregon State University
##### Lily A.

Johns Hopkins University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp