# Natural Exponential Graphs

$$ \large y=e^x$$

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

### Example 1

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

Reflected the $x$-axis.

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

Translated to left.

### Example 5

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

Multiplied 3 times to the $y$ values.

### Example 6

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

Translated to up.

### Example 7

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

Translated to right.

### Example 8

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

Translated to left and down.

### Example 9

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

Translated to down.

### Example 10

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

Translated to right and up.

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