Linear and Quadratic Functions
Plot straight lines and parabolas while exploring slopes, intercepts, vertices, axes of symmetry, and graph transformations.
Saisissez une équation, une fonction ou une question de tracé, et laissez iWeaver la transformer en graphique visuel avec un contexte mathématique utile. Explorez les points clés, comparez des fonctions, vérifiez la syntaxe et demandez des explications pas à pas dans le même espace de travail.
Entrez une fonction comme y = x^2 - 4x + 3, décrivez le graphique dont vous avez besoin, ou téléversez une feuille d’exercices ou un fichier de problème pris en charge.
iWeaver interprète l’expression et crée une représentation visuelle. Vous pouvez lui demander d’identifier des éléments importants comme les intercepts, les points de rebroussement, les asymptotes, le domaine, l’ensemble des valeurs ou le comportement à l’infini.
Demandez une explication plus claire, comparez plusieurs fonctions, vérifiez une transformation ou demandez comment une variation de paramètre affecte le graphique.
Graph common equations, explore important function features, and get clear explanations across algebra, trigonometry, calculus, and multi-variable math.
Plot straight lines and parabolas while exploring slopes, intercepts, vertices, axes of symmetry, and graph transformations.
Examine zeros, turning points, holes, vertical and horizontal asymptotes, and the end behavior of more complex functions.
Visualize growth and decay, identify domain restrictions, and explore intercepts and asymptotic behavior.
Graph sine, cosine, tangent, and related functions while examining amplitude, period, phase shifts, and asymptotes.
Compare multiple equations, locate intersection points, and visualize solution regions for supported inequalities.
Explore derivatives, integrals, limits, parametric relationships, and supported three-dimensional surfaces.
Specify the variables, domain, graph type, and features you want to identify. For example, ask iWeaver to find intercepts, asymptotes, turning points, or intersections between two functions.
Entrez une notation mathématique standard ou décrivez en langage courant ce que vous souhaitez visualiser.
Allez au-delà d’une simple courbe. Demandez les intercepts, points critiques, symétries, asymptotes, domaine, ensemble des valeurs, concavité et comportement à l’infini.
Demandez le raisonnement derrière le graphique pour comprendre comment l’équation produit sa forme.
iWeaver peut signaler les expressions ambiguës ou incomplètes et suggérer une formulation plus claire de la fonction.
Tracez ou analysez plusieurs équations ensemble pour voir où elles se croisent et en quoi leur croissance ou leur comportement diffèrent.
Posez des questions comme : Pourquoi cette fonction a-t-elle une asymptote verticale ? Ou Trouve le sommet et explique chaque étape. Ou Compare y = x^2 avec y = (x - 3)^2 + 2.
Start with one of these example equations to explore slopes, intercepts, transformations, asymptotes, derivatives, and three-dimensional relationships.
| Goal | Example Input | What to Explore |
|---|---|---|
|
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y = 2x + 3
|
Identify the slope, y-intercept, direction, and rate of change. |
|
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y = x² - 4x + 3
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Find the vertex, zeros, axis of symmetry, and opening direction. |
|
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y = 1 / (x - 2)
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Examine the domain, vertical asymptote, horizontal asymptote, and end behavior. |
|
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y = sin(x)
y = cos(x)
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Compare period, phase, amplitude, intercepts, and intersection points. |
|
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x² + y² = 25
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Identify the center, radius, intercepts, and symmetry. |
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y = 2ˣ
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Explore the growth rate, y-intercept, domain, range, and horizontal asymptote. |
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f(x) = x³ - 3x
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Find critical points, intervals of increase and decrease, and local extrema. |
|
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z = sin(x)cos(y)
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Examine the surface shape, repeating pattern, peaks, valleys, and changes across two variables. |
After entering an equation, ask iWeaver to explain its key features, compare it with another function, or show how changing a coefficient affects the graph.

Vérifiez vos devoirs, visualisez des fonctions difficiles et reliez les étapes algébriques à la forme du graphique.
Résoudre mon problème de tracé
Créez rapidement des démonstrations de transformations, intersections, limites, dérivées et autres notions abstraites.
Créer une visualisation mathématique
Explorez des modèles mathématiques, comparez des équations et examinez des relations avant de passer à un logiciel d’analyse spécialisé.
Visualiser un modèle
Transformez des fonctions ou des relations mathématiques en visuels clairs pour des rapports, présentations et explorations préliminaires.
Tracer la relation des donnéesDifferent calculators are designed for different tasks. Compare their main strengths to choose the right tool for calculations, graphing, and mathematical explanations.
| Calculator Type | Main Strength | Best Used For |
|---|---|---|
|
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Performs simple numerical calculations quickly and with minimal input. | Addition, subtraction, multiplication, division, percentages, and everyday arithmetic. |
|
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Supports advanced numerical functions beyond basic arithmetic. | Trigonometry, logarithms, exponents, roots, scientific notation, and numerical problem-solving. |
|
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Plots equations and lets users explore functions through a dedicated graphing interface. | Classroom graphing, testing values, locating intersections, and visually exploring equations. |
|
AI Graphing Calculator
Recommended
|
Combines equation graphing with natural-language input, explanations, syntax support, and follow-up questions. | Learning difficult concepts, troubleshooting equations, interpreting graph features, and understanding the reasoning behind a result. |
Choose an AI graphing calculator when you need more than a visual curve. It is especially useful for identifying intercepts, asymptotes, turning points, transformations, and other features while receiving an explanation of how the equation produces the graph.
Clear equations and specific instructions help produce more useful graphs. It is also important to review AI-generated results before using them for important calculations.
Add parentheses to show the correct order of operations and avoid ambiguous expressions.
Write expressions as y =, f(x) =, or
z = so the relationship between variables is clear.
Include the range of values you want to graph, such as
0 ≤ x ≤ 10, when the viewing window matters.
Put each equation on a separate line and explain whether you want intersections, comparisons, or separate graphs.
Mention whether you need a 2D, 3D, polar, parametric, or inequality graph.
Ask for roots, intercepts, asymptotes, extrema, domain, range, or turning points instead of requesting only a graph.
Review the original equation, signs, exponents, brackets, and domain when the graph does not look as expected.
AI graphing tools can support learning and exploration, but they may misread notation or produce an incorrect explanation in some cases.
Use the graph as a learning and exploration aid. Check important engineering, scientific, financial, or safety-related calculations with specialist software or a qualified professional.
A clear equation, defined variables, and a specific graphing request will usually produce a more useful result. Always compare important outputs with the original problem before relying on them.
Continue with three related tools that fit naturally into the same study workflow.
Practical support for a clearer and more effective learning routine.
Practical support for a clearer and more effective learning routine.
Practical support for a clearer and more effective learning routine.
Saisissez une fonction ou un problème de mathématiques pour visualiser son comportement, examiner ses caractéristiques clés et obtenir une explication facile à suivre.
Tracer une équation