Natural Exponential Graphs

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.

Natural Exponential Graphs Example 1

Example 2

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

Natural Exponential Graphs Example 2

Example 3

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

Natural Exponential Graphs Example 3

Example 4

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

Natural Exponential Graphs Example 4

Example 5

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

Natural Exponential Graphs Example 5

Example 6

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

Natural Exponential Graphs Example 6

Example 7

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

Natural Exponential Graphs Example 7

Example 8

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

Natural Exponential Graphs Example 8

Example 9

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

Natural Exponential Graphs Example 9

Example 10

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

Natural Exponential Graphs Example 10

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