# Natural Exponential Graphs

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

Natural Exponential Graphs

Natural Exponential Graphs also follow the rule of translations and transformations.

### 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 $y=e^{x-1}+1$.