🧮 Desmos Calculator Shortcuts

For any equation, graph both sides (e.g., `y = 2x + 5` and `y = 3x - 1`) to find the intersection point. Boom — solution found.

Input both equations of a system, and Desmos gives the solution as the intersection — no substitution or elimination needed.

Define variables with sliders to visualize range of outcomes in real-time (great for age, distance, or price problems).

Plot the quadratic. Roots = x-intercepts. Skip the whole factoring process and go straight to the answer.

Use the `+` menu to insert a table. Input values and see outputs instantly — helpful for function and pattern problems.

Graph `y = |x - a|` functions and see visually where conditions like `|x - 5| < 3` hold true.

Plot `y > 2x + 3` directly — Desmos shades the region. Perfect for visualizing constraints or checking which points work.

Using Desmos right can save up to **45 seconds per problem** — across 20 questions, that’s 15 extra minutes to double check.

Graph any quadratic (e.g., `y = -2(x - 3)^2 + 5`) and hover over the peak to find the vertex without calculation.

Drag and zoom around graphs to see where functions exist — super helpful for domain/range questions.

Enter a point like `(2, 3)` to see if it lands on the graph. If it sticks — it's a solution.

Use curly braces like `y = {x < 2: x^2, x ≥ 2: 3x}` to build multi-part functions for visual analysis.

Model word problems by defining x and y in terms of t (e.g., `x = t + 2`, `y = 3t`) to track changes over time.

Plot both sides of exponentials like `y = 3^x` and `y = 81` — the intersection shows your answer fast.

Plot two points A and B, then enter `(B.y - A.y)/(B.x - A.x)` — Desmos computes the slope instantly.

Use inequalities like `y ≤ 2x + 3` to visualize which side of the line is valid. Combine with systems to see overlaps.

Use `∫_a^b f(x) dx` to visualize area between curves — bonus for understanding geometry or modeling.

Open Desmos right now → desmos.com/calculator