Linear and Quadratic Functions
Plot straight lines and parabolas while exploring slopes, intercepts, vertices, axes of symmetry, and graph transformations.
方程式・関数・グラフに関する質問を入力すると、iWeaver が視覚的なグラフに変換し、役立つ数学的な文脈もあわせて提示します。重要な点を確認したり、関数を比較したり、記法をチェックしたり、同じワークスペースで段階的な解説を求めたりできます。
y = x^2 - 4x + 3 のような関数を入力するか、必要なグラフの内容を説明するか、対応するワークシートや問題ファイルをアップロードしてください。
iWeaver が式を解釈して、視覚的なグラフを作成します。切片、極値、漸近線、定義域、値域、端の振る舞いなど、重要な特徴の特定も依頼できます。
より分かりやすい説明を求めたり、複数の関数を比較したり、変換の確認をしたり、パラメータの変化がグラフにどう影響するかを質問できます。
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.
標準的な数式表記を入力することも、見たい内容を自然な言葉で説明することもできます。
曲線の図を表示するだけではありません。切片、臨界点、対称性、漸近線、定義域、値域、凹凸、端の振る舞いまで確認できます。
そのグラフになる理由を説明してもらえるので、式がどのように形を生み出すのか理解しやすくなります。
iWeaver は曖昧または不完全な式を検出し、より分かりやすい関数の書き方を提案できます。
複数の方程式をまとめてグラフ化・比較し、交点や増え方・振る舞いの違いを確認できます。
たとえば次のように質問できます:なぜこの関数には垂直漸近線があるの? 頂点を求めて各ステップも説明して。あるいは y = x^2 と y = (x - 3)^2 + 2 を比較して。
Start with one of these example equations to explore slopes, intercepts, transformations, asymptotes, derivatives, and three-dimensional relationships.
| Goal | Example Input | What to Explore |
|---|---|---|
|
|
y = 2x + 3
|
Identify the slope, y-intercept, direction, and rate of change. |
|
|
y = x² - 4x + 3
|
Find the vertex, zeros, axis of symmetry, and opening direction. |
|
|
y = 1 / (x - 2)
|
Examine the domain, vertical asymptote, horizontal asymptote, and end behavior. |
|
|
y = sin(x)
y = cos(x)
|
Compare period, phase, amplitude, intercepts, and intersection points. |
|
|
x² + y² = 25
|
Identify the center, radius, intercepts, and symmetry. |
|
|
y = 2ˣ
|
Explore the growth rate, y-intercept, domain, range, and horizontal asymptote. |
|
|
f(x) = x³ - 3x
|
Find critical points, intervals of increase and decrease, and local extrema. |
|
|
z = sin(x)cos(y)
|
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.




Different 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 |
|---|---|---|
|
|
Performs simple numerical calculations quickly and with minimal input. | Addition, subtraction, multiplication, division, percentages, and everyday arithmetic. |
|
|
Supports advanced numerical functions beyond basic arithmetic. | Trigonometry, logarithms, exponents, roots, scientific notation, and numerical problem-solving. |
|
|
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.