# Natural Exponential Graphs

$\textit{Natural Exponential Graphs}$
$$y=e^x$$

Natural Exponential Graphs also follow the rule of translations and transformations.
$\textit{Natural Exponential Graphs}$
$$y=e^x$$
### Example 1

Sketch the graphs of $y=e^x$ and $y=-e^x$.
### Example 2

Sketch the graphs of $y=e^x$ and $y=-e^{-x}$.
### Example 3

Sketch the graphs of $y=e^x$ and $y=e^{-x}$.
### Example 4

Sketch the graphs of $y=e^x$ and $y=e^{x+1}$.
### Example 5

Sketch the graphs of $y=e^x$ and $y=3 \times e^{x}$.
### Example 6

Sketch the graphs of $y=e^x$ and $y=e^x+1$.
### Example 7

Sketch the graphs of $y=e^x$ and $y=e^{x-1}$.
### Example 8

Sketch the graphs of $y=e^x$ and $y=e^{x+1}-1$.
### Example 9

Sketch the graphs of $y=e^x$ and $y=e^x-1$.
### Example 10

Sketch the graphs of $y=e^x$ and $y=e^{x-1}+1$.

Natural Exponential Graphs also follow the rule of translations and transformations.
Reflected to the $x$-axis.

Translated to left.

Multiplied 3 times to the $y$ values.

Translated to up.

Translated to right.

Translated to left and down.

Translated to down.

Translated to right and up.