# 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.