Interactive Graphing & Function Tools
Graph functions, explore transformations, and understand key properties with interactive math tools.
Explore the tools
Graph & Explore
Graphing Calculator
Graph functions and analyze their behavior.
Plot up to 5 functions, compare curves, find intersections, explore polar curves, and inspect important features.
Open Graphing CalculatorGraph & Explore
Quadratic Graph Calculator
Explore quadratic functions visually.
Graph y = ax² + bx + c with interactive coefficient sliders and see the vertex, intercepts, discriminant, and direction of opening.
Explore QuadraticsGraph & Explore
Linear Graph Calculator
Graph lines and understand slope.
Enter a linear equation or build a line from two points. Explore slope, intercepts, and the relationship between two points.
Graph a LineAnalyze
Vertex Calculator
Find and understand the vertex of a quadratic.
Calculate the vertex, axis of symmetry, maximum or minimum, vertex form, and related properties while viewing the parabola.
Find the VertexAnalyze
Slope Calculator
Find the slope between two points.
Calculate slope, angle of inclination, distance, and the line equation with a visual slope triangle.
Calculate SlopeAnalyze
X-Intercept Calculator
Find where a function crosses the x-axis.
Solve for x-intercepts of quadratic, linear, and supported general functions with step-by-step calculations and a visual graph.
Find X-InterceptsExplore How Functions Change
Start with a parent function and change it interactively.
Shift, reflect, stretch, and compress a function and see the result instantly.
Open Function TransformationsWhat do you want to find?
I want to...
Graph a function
I want to...
Graph a quadratic
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Graph a line
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Find a vertex
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Find slope
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Find x-intercepts
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Understand transformations
Built for Understanding, Not Just Answers
See the math
Interactive graphs make equations easier to understand.
Change values
Sliders let you experiment with coefficients and transformations.
Show the work
Important calculations include formulas, substitutions, and steps.
Explore relationships
Compare functions and see how changes affect their graphs.
Fast in your browser
Tools respond immediately without requiring a complicated setup.
Explore Key Function Concepts
Functions & Graphs
Understand how equations translate into graphs and how different parameters affect their shape.
Quadratics
Explore vertices, roots, intercepts, discriminants, axis of symmetry, and maximum/minimum values.
Linear Functions
Understand slope, intercepts, direction, and the relationship between two points.
Transformations
See how shifts, reflections, stretches, and compressions change a parent function.
Frequently Asked Questions
What can I graph with these tools?
You can graph linear, quadratic, and other functions, compare multiple functions, explore transformations, and analyze important graph properties.
Can I graph more than one function?
Yes. The Graphing Calculator supports comparing multiple functions, making it useful for intersections and visual comparisons.
What is a function transformation?
A function transformation changes a graph's position, orientation, or scale. Common transformations include horizontal and vertical shifts, reflections, stretches, and compressions.
How do I find the vertex of a quadratic?
For y = ax² + bx + c, the x-coordinate of the vertex is x = -b/(2a). The Vertex Calculator handles the calculation and shows the result on the graph.
How do I find the slope between two points?
Use: m = (y₂ - y₁)/(x₂ - x₁). The Slope Calculator also shows the line, angle, distance, and slope triangle.
What is an x-intercept?
An x-intercept is a point where a graph crosses or touches the x-axis, meaning y = 0. The X-Intercept Calculator finds the corresponding roots.