Desmos is a web-based graphing calculator that allows you to plot points, graph expressions, and evaluate equations. It is a versatile tool that can be used to visualize mathematical concepts and solve problems. This guide will introduce you to the basics of using Desmos and help you get started with graphing points and curves.
The expressions list is located on the left side of the graphing calculator and is Desmos' way of storing your math. You can add an expression by clicking on the gray plus sign in the top left and selecting "expression."
An expression could be a calculation, a variable, a function... to name a few. You can type math on your keyboard or using the built-in Desmos keypad in the bottom left. Try typing something like \(2 + 3\) or \(\cos(\pi)\) in a new expression line.
You can delete an expression by clicking on the gray \(\times\) or pressing backspace on an empty line. You can undo actions by pressing Ctrl + Z or the Undo button.
Unlike traditional graphing calculators, Desmos updates the graph in real time as you type your expressions. This means you can see the effects of your changes immediately.
In the expression list, try entering a point like \((1, 3)\), graphing a line like \(y = -2x + 4\), or graphing a parabola like \(y = x^2 - 1\). You can toggle the graph of an expression by clicking the colored icon in the expression list.
To see points of interest, select the curve you’re interested in on the graph or on its expression line. To see the coordinates of the points of interest, you can click on the gray points on the curve. Try selecting the blue parabola and hovering over the y-intercept to find its coordinates.
You can define your own functions like \(f(x)\) or \(g(x)\) in the expression list that can be used in other expressions. For example, you can define a function \(f(x) = x^2\) and then calculate \(f(3)\) or graph \(y= f(x) + 5\) on another line.