<p align="right">Last Update: <font color="#4f81bd">November 13, 2024</font></p>
## BIG IDEAS
- The origin is the zero point from which all positions are measured.
- Provides a common reference to describe where objects are located within the frame.
- The origin helps establish a coordinate system.
- Adds consistency in calculations and communicating a measurement.
- Can simplify calculations.
```tikz
\begin{document}
\begin{tikzpicture}[domain=0:4]
\draw[very thin,color=gray] (-0.1,-1.1) grid (3.9,3.9);
\draw[->] (-0.2,0) -- (4.2,0) node[right] {$x$};
\draw[->] (0,-1.2) -- (0,4.2) node[above] {$f(x)$};
\draw[color=red] plot (\x,\x) node[right] {$f(x) =x$};
\draw[color=blue] plot (\x,{sin(\x r)}) node[right] {$f(x) = \sin x$};
\draw[color=orange] plot (\x,{0.05*exp(\x)}) node[right] {$f(x) = \frac{1}{20} \mathrm e^x$};
\end{tikzpicture}
\end{document}
```
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