Graphing Calculator Drawing: Horizontal and Vertical Lines

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Setup. Navigate to https://www.desmos.com/calculator. Be sure to sign in so that you can save your graph.

Demonstration - Vertical Lines. Observe the graph as you type each of the following inputs:

$\begin{align*} x &= 1 \\[10pt] x &= 2 \\[10pt] x &= 3 \end{align*}$


Demonstration - Horizontal Lines. Observe the graph as you type each of the following inputs:

$\begin{align*} y &= 1 \\[10pt] y &= 2 \\[10pt] y &= 3 \end{align*}$


Demonstration - Rays and Segments. Observe the graph as you type each of the following inputs:

$\begin{align*} x&=1 \lbrace 2 < y \rbrace \\[10pt] x&=2 \lbrace 2 < y < 3 \rbrace \\[10pt] y&=1 \lbrace x < 2 \rbrace \\[10pt] y&=2 \lbrace 0 < x < 2 \rbrace \end{align*}$


Exercise. Reproduce the graph below. (Note: you can change the line color by clicking and holding the colored circle to the left of the math input box.)

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Exercise. Add ridges to the top of the graph you produced in the previous example.

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Challenge. Draw a full castle!

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