Nano Banana 2.1 is LIVE — Google's Latest | Try Now →
WAVESPEED AI GRAPHING CALCULATOR Works in your browser
100% FREE

Free Graphing CalculatorPlot any function, move the sliders, find every point that matters.

Type equations the way you write them – y = 2x + 1, x² + y² = 25, r = 2cos θ – and watch them draw as you type.
Add sliders for a, b and c, tap a curve to mark its zeros, highs, lows and crossings, and share the graph with a link.

Sliders & animationRoots & intersectionsShare link & PNG
No sign-up Unlimited use Remembers your numbers
Calculated on your device. What you type is not sent anywhere.
THREE SIMPLE STEPS

How to use the graphing calculator

01

Type an equation

Enter y = x^2 − 4, sin(x)/x, x^2 + y^2 = 25 or r = 3cos(4θ). Press Enter for a new line; each line gets its own colour.

02

Explore the graph

Drag to move, scroll or pinch to zoom, and point at a curve to read coordinates. Tap a curve to mark its roots, highs, lows and crossings.

03

Adjust and share

Use a letter like a and add a slider for it, press play to animate, then copy a link to the graph or download it as PNG.

Worked examples

Where does a parabola cross a line?

Find where y = x² − 4 meets y = x + 2.

  1. Type y = x^2 - 4 on the first line and y = x + 2 on the second.
  2. Tap the parabola: grey dots mark its zeros, its lowest point and where it crosses the line.
  3. Tap a dot or read the key points list.

They cross at (−2, 0) and (3, 5).

See what a parameter does

How do a, h and k change y = a(x − h)² + k?

  1. Type y = a(x - h)^2 + k.
  2. Press the add slider buttons for a, h and k.
  3. Drag each slider, or press play to animate it.

a stretches and flips the parabola, h moves it sideways and k moves it up and down.

A circle and its inside

Draw the circle of radius 5 and shade the points inside radius 3.

  1. Type x^2 + y^2 = 25.
  2. On a new line type x^2 + y^2 < 9.
  3. Use equal axes so the circle looks round.

The circle is drawn and the disc of radius 3 is shaded, with a dashed edge because < does not include it.

What you can type

y = 2x + 1 f(x) = x^3 − x f'(x) x = y^2r = 2cos(θ) (cos t, sin t) (2, 3)x^2 + y^2 = 25 y < sin(x) a = 1.5

Write multiplication without a sign (2x, 3(x + 1), xy), powers with ^, and functions with or without brackets: sin x, √x, |x|, ln, log, exp, floor, round, min, max and more. π, e and θ are built in.

A letter on its own line with a number (a = 2) becomes a slider. A line in x and y is drawn as an implicit curve, and <, >, ≤ or ≥ shades the region.

WaveSpeed AI

Need visuals for a lesson or a report?

When the maths is done, WaveSpeed AI turns a short prompt into images, videos and 3D models.

  • 1,000+ AI models
  • Image, video and 3D
  • Pay as you go

$1 in free credits for eligible new accounts. No card needed. Generators have separate account and credit requirements. The graphing calculator is free.

Graphing Calculator FAQ

What kinds of graphs can I draw?

Functions y = f(x) and x = g(y), parametric curves (x(t), y(t)), polar curves r = f(θ), implicit equations such as x² + y² = 25 or x³ + y³ = 6xy, inequalities with shaded regions, and single points like (2, 3).

How do sliders work?

Use any letter, such as y = a·sin(bx), and press the add slider button that appears, or type a = 2 on its own line. Drag the slider, change its range and step, or press play to animate the value back and forth.

How do I find roots, maximums and intersections?

Tap or click a curve. Grey dots mark its zeros, local maximums and minimums, the y-intercept and where it crosses other curves in view, and the key points list shows their coordinates. Tap a dot to label it on the graph.

Can I see a table of values?

Yes. The table below the graph lists x and y for the selected function from any start value and step. Copy it as CSV for a spreadsheet.

Does it support degrees?

Yes. Switch between radians and degrees above the expression list. In degrees, sin(90) = 1 and polar curves run from 0° to 360°.

How do I share or save a graph?

The graph is saved in your browser and in the page address, so Copy link gives a link that opens the same graph. Download PNG saves a high-resolution image with a legend for homework, slides or worksheets.

Is there a unit circle?

Yes. Switch to Unit circle to drag an angle around the circle and see sin, cos and tan as lengths, with exact values such as √3/2 at the special angles, in degrees or radians.

Is it free?

Yes. Free, no sign-up, no watermark, and everything is calculated in your browser.

All Free Tools

Start graphing

Functions, sliders, key points and a link to share.

Open the graphing calculator