Functions of x (y = x² − 3), functions of y (x = y² − 2), vertical lines (x = 3), polar curves (r = 1 + cos θ), parametric curves ((3cos t, 2sin t)) and points ((2, 3)).

Every letter other than x, y, t and θ becomes a slider. Set its range and step, drag it, or press play to animate it.

How are roots and extrema found?

Numerically, across the visible part of the graph: sign changes are refined by bisection. Zoom or pan to find points outside the view.

Graphing Calculator

Graph functions, polar curves, parametric curves and points with sliders, roots, minimums, maximums, intersections and a table of values.

Expressionsy = f(x), r = f(θ), (x(t), y(t)), x = g(y) or a point

y = x² − 3Show Derivative
y = sin(x)Show Derivative

Try

GraphDrag to move · scroll or pinch to zoom · double-click to zoom in

Key PointsFor y = x^2 - 3

Roots (x-Intercepts)

Minimums And Maximums

y-Intercept

Intersections

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What Is the Graphing Calculator?

An interactive graphing calculator for y = f(x), x = g(y), polar curves r = f(θ), parametric curves (x(t), y(t)) and points. Any other letters in your expressions (a, b, c, k…) become sliders you can drag or animate, so y = a·x² + b·x + c can be explored live. Pan by dragging, zoom with the wheel, a pinch or the + and − buttons, and hover to trace coordinates. For the selected function it finds roots, local minimums and maximums, the y-intercept and intersections with other curves, can overlay the derivative, and builds a table of values. Download the graph as a PNG; your expressions are remembered in this browser.

How It Works

Type an expression in each row, such as y = sin(x) or r = 2sin(4θ). Add rows with + Add or the examples. Click a row to analyze it; click a key point to center the graph there. Toggle the colored dot to hide a curve, and switch between radians and degrees for trig.

When to Use It

Use it for algebra and precalculus homework, checking where curves cross, exploring how parameters change a graph, or making a quick figure for notes.

Frequently Asked Questions

What can I graph?: Functions of x (y = x² − 3), functions of y (x = y² − 2), vertical lines (x = 3), polar curves (r = 1 + cos θ), parametric curves ((3cos t, 2sin t)) and points ((2, 3)).
How do sliders work?: Every letter other than x, y, t and θ becomes a slider. Set its range and step, drag it, or press play to animate it.
How are roots and extrema found?: Numerically, across the visible part of the graph: sign changes are refined by bisection. Zoom or pan to find points outside the view.

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