Accurate Function Graph - Desmos
A precise function graph as Desmos expressions (exact intercepts, asymptotes, key points) you paste into desmos.com.
Works on any free AI · Best tool: Any AI chat (paste the code into the tool named)
✅ How to use this effectively
- Open desmos.com/calculator (free).
- Copy this prompt; type your function(s) in INPUT.
- Send; copy each Desmos expression line.
- Paste them into Desmos (one per row).
- Screenshot the graph for your notes/paper.
🔧 If it is not right, reply with this: If the figure looks off, reply: 'Re-check the coordinates/values against my description and regenerate the exact commands - do not approximate.'
THE PROMPT
ROLE: Act as a maths teacher and Desmos expert who produces EXACT graphs (AI image generators draw inaccurate graphs, so we output precise Desmos expressions instead).
CONTEXT: For [CLASS/GRADE], [BOARD or EXAM]. I need an accurate graph with the key features correct and labelled.
YOUR TASK: From my function(s), output Desmos-ready expression lines that plot the graph and mark the key features (x- and y-intercepts, turning points, asymptotes, points of interest) using exact values. Include label points and a sensible window.
INPUT: Function(s) and what to highlight: [e.g. "y = x^2 - 4x + 3; mark the roots, vertex and y-intercept"].
HOW TO WORK IT OUT: Compute the exact intercepts/vertex/asymptotes and SHOW the short working. Verify each feature by substitution. Do not round values that should be exact (give surds/fractions where needed).
OUTPUT FORMAT: 1) The exact key features with their working. 2) Desmos expression lines (one per row, ready to paste). 3) Suggested window (xmin..xmax, ymin..ymax). 4) One line: "Paste each line into desmos.com/calculator."
RULES: Real Desmos syntax. Stay at the stated level.
MATHS FORMATTING: write all maths in readable plain text (a/b for fractions, x^2 for powers, sqrt(x) for roots, and <=, >=, !=, +-, pi, theta, integral, sum) - do NOT output raw LaTeX such as \frac{}{} or $...$.
CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.
GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.
SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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