## Getting Started

**How do I plot a point?**

To plot points, you can type one point per line, multiple points in the same line, or list them all in a table. To get started, try typing a coordinate pair in the expression list, such as \((2,1)\).

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**How do I connect points?**

To connect points, you can use a table or the polygon function. To get started with a table, enter your point values. Then, click and long-hold the icon in the y-column header to open the options menu and enable the “Lines” toggle to connect the points. To use the polygon function, type \(polygon(x_1, y_1)\), where \(x_1\) is the \(x\)-column header and \(y_1\) is the \(y\)-column header. If the table consists of only two coordinates, this will connect them with a line, otherwise it will generate a closed polygon using the coordinates as vertices.

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**How do I graph a line?**

Enter the equation of the line you would like to see graphed. For example, try \(y=2x+3\). You can also enter equations that are not solved for \(y\), such as \(3x-4y=1\).

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**How do I find important points on a graph (like intercepts, maximums, etc.?)**

If you click anywhere on a line or curve, gray dots will appear at intercepts, intersection points, maximums, and minimums. Click on a gray dot to display the coordinates at that point; click the dot again to hide the coordinates.

Note: To see coordinates on a curve, it's best to enter the expression explicitly. Coordinates are not displayed for parametric equations or in the 3D calculator.

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**How do I represent a fraction?**

To enter a fraction, try using the "/" symbol on your keyboard or the division operator (÷) in the Desmos on-screen keypad.

To convert an answer from a decimal to a fraction, click the icon to the left of the expression line.

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**How do I make a table in Desmos?**

To insert a table, simply type *table*, or use the *Add Item* menu (the plus sign in the top left of the expression list) and select *Table*.

- A single point such as \((1,0)\)
- A list of points separated by commas, such as \((1,0)\), \((2,0)\), \((3,2)\), \((4,3)\)
- A function in function notation, such as \(f(x)=sin(x)\)

For each of these instances, click the *Edit List* button at the top right of the expression list and then click the table icon next to the expression, which says *Convert to Table* or *Create Table*.

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**How do I share my graph?**

If you're logged into your account in the Graphing Calculator, Geometry Tool, or 3D Calculator, you can press the *Share* button in the upper right. This will generate a unique URL that refers to the current graph state, as well as other options for sharing your graph.

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## Fine Tuning Your Graph

**How do I graph only part of my equation?**

To limit the domain or range (\(x\) or \(y\) values) of a graph, add a restriction to the end of your equation in curly brackets {}. For example, \(y=2x\){0\(\lt\)\(x\)\(\lt\)\(3\)} would graph the line \(y=2x\) only for \(x\) values between \(0\) and \(3\)

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**How do I shade only portions of my graph?**

To shade portions of your graph, replace the equal sign with an inequality sign. Try using <,>, ≤, or ≥ to explore how the shading changes with different inequality symbols.

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**How do I graph piecewise functions?**

To graph a piecewise function, use the following syntax: y = {condition: value, condition: value, etc.} For example, \(y=\){x\(\lt\)\(0\):\(sin(x)\), \(x\)\(\ge\)\(0\):\(2x\)} will graph \(y=sin(x)\) for \(x\)-values less than 0 and \(y=2x\) for \(x\)-vlaues greater than or equal to \(0\).

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**How do I change the viewing window so I can see my graph?**

To adjust the viewing window, use the plus and minus signs in the top right corner of your window to zoom in and out

For more precise control, you can also manually define the bounds of the viewport. Adjust each axis separately in the *Graph Settings* menu, accessed using the wrench icon in the upper right corner.

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**How do I fit all of the data in my table in the viewing window?**

When you add data to a table, you’ll see the *Zoom Fit* icon in the bottom left corner of your expression. Click on the icon to automatically adjust the viewing window to fit your data.

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**How do I change from radians to degrees?**

Open the *Graph Settings* menu by clicking the wrench in the upper right corner to find a radians/degrees toggle.

Note: The Graphing and 3D Calculators default to radians, while the Geometry Tool and Scientific Calculator default to degrees.

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## Getting Creative

**How do I open the options menu to change the style/color of my graph?**

In the *Options Menu*, you can change the line or point style, line thickness, change colors, and more. Open the *Options Menu* with any of the following methods:

- Long pressing the icon
- Pressing Ctrl+Shift+O while focused in the expression
- Shift + click the icon

**How do I create my own colors in Desmos?**

Custom colors can be defined using the RGB or HSV color models, represented in Desmos by rgb and hsv functions that each take three input values to define a new color. RGB specifies the amounts of red, green, and blue in the color, while HSV specifies the hue, saturation, and value. Each custom color must be assigned a variable name in the expression list, and it will then be available to select from the color list in the *Options Menu*.

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**How do I create art in Desmos?**

Our community of users is continually discovering new ways to use Desmos as a canvas and outlet for creativity. Get started by creating your name with lines, or importing an image and tracing it with points and curves. Find inspiration from our Global Math Art Contest and explore the resources below.

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**How do I add an image to my graph?**

To add an image to your graph, use the *Add Item* menu in the top left of the expression list and select *Image*. Alternatively, you can drag an image from your desktop directly into the expression list.

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## Diving Deeper

**What accessibility features does Desmos offer?**

Desmos offers a range of accessibility features, including robust keyboard navigation, math-aware text-to-speech, audio trace, display enlargement, reverse contrast, braille mode, and more. Explore all the available features with the additional resources below.

### Learn More

Reach out to us at accessibility@desmos.com with any questions or feedback.

**How do I make lists in Desmos?**

Create lists in Desmos using square brackets. For example, L = [1, 2, 3, 4, 5].

You can also create lists with evenly spaced elements using ellipses. For instance, [1...10] generates a list of integers from 1 to 10 and [1,3...11] creates a list of the odd integers from 1 to 11. Lists can be used anywhere in an expression where you would use a number.

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**How do I find a line of best fit/run a regression?**

A regression helps find a mathematical expression (like a line or a curve) to model the relationship between two sets of data, by approximating the value(s) of any undefined variables in the expression. Start by placing data into a table, then use the tilde symbol (~) to run a regression.

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**How do I animate my graph?**

Start creating animations by attaching an image or graph object to a slider. Sliders allow you to play through different values for a variable, where you can control their speed, direction, and bounds.

For more advanced animations, explore actions and tickers. To get started, you must first enable actions at the account level. When signed in, click your account name in the upper right corner and open the *Account Settings* page. Under the Advanced tab, check the *Actions* checkbox.

Actions can update variable values, append lists, and more. The ticker can run actions over a specified time interval. Learn more about sliders, actions, and the ticker with the resources below.

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**How do I make music with tone?**

The tone function takes a required frequency input and an optional gain input. For the frequency, you can choose a value between 20Hz to 20000Hz, though they might not all be audible. We recommend starting with frequencies between 110Hz and 880Hz.

Gain is a multiplier on the amplitude of the sound wave. Larger amplitudes sound louder to our ears. You can set the gain between 0 and 10 depending on the frequency, but we recommend staying between 0 and 1.

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**How do I represent recursive sequences in Desmos?**

A recursive sequence is defined when the value of a term depends on one or more other terms in the sequence. For example, consider the sequence 3,5,7,9,11,... where each term is 2 more than the previous one. In function notation, we can represent this as \(f(n) = f(n-1) + 2\). To specify where to start, set a base case for the first term, such as \(f(1)=3\).

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**Where can I find out about new Desmos features?**

Discover all of Desmos' new features, both big and small, on our 'What’s New' page!

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**Why does my graph look strange (unresolved detail)?**

Did you enter an expression in the Graphing Calculator and find that the resulting graph lacked some expected detail?

Sometimes, the calculator may determine that an equation is too complex to plot accurately within a reasonable amount of time. In such cases, the equation is plotted at a lower resolution.

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**How do I move my graphs from one account to another?**

To change the email address associated with your account, click your name in the top right corner and select *Account Settings*.

In the Profile Information tab, choose *Change Email Address . This will send a Change Email Link to the email address currently associated with your account. *

If you receive an error message saying 'Sorry! Something went wrong. Please try again later,' it may indicate that you already have a Desmos account with that email address. Please reach out to us at support@desmos.com, and we'll be happy to help merge your accounts.

## Privacy and Partnerships

**Does Desmos Studio provide professional development on the calculator or other math tools?**

Our professional learning programs are designed to support individuals, schools, districts, and organizations in using Desmos Calculator tools to explore, grow, and create with math. If your school or district is interested in paid professional development for the Desmos graphing calculator or other math tools, please contact us at pd@desmos.com to learn more!

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**Where do I learn more about partnering with Desmos?**

To integrate Desmos tools into your platform, website, or app, or to use them commercially, contact us at partnerships@desmos.com. You can also learn more about our latest API at desmos.com/api.

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**What is Desmos’ privacy policy?**

We are committed to protecting your data. All of our sites, apps, and services use Secure Socket Layer (SSL) encryption to transfer your data. We only share and store your data with trusted services that are also committed to security. We maintain a list of those services here:

https://github.com/desmosinc/policies/blob/master/third-party-services.md

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**What does Desmos do with student data?**

We have data privacy agreements with school districts across several states and are happy to work with your school to establish a similar agreement. Please email us at privacy@desmos.com for more information.

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**Can I embed Desmos Studio’s math tools in the software I’m creating?**

To embed Desmos Studio’s math tools, contact us at partnerships@desmos.com. Explore our latest API documentation at desmos.com/api.