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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