Function Graph Paper
Free function graph paper with a numbered coordinate plane — all four
quadrants or just quadrant 1, on Letter or A4. Plot points by hand, or
do what no other printable can: type an equation like x^2 - 3 and graph it right on the grid. Free, no signup.
Tip: when printing, set Margins to “None” and Scale to 100% so the grid stays exactly to size.
Use + / −, pinch, or Ctrl/Cmd + scroll to zoom. Drag a zoomed preview to inspect peaks and crossings. Printing always uses your settings.
A printable coordinate plane — numbered and to scale
Need a blank coordinate plane to plot points by hand? Set the axes to Centered for all four quadrants, or to the Corner for a quadrant-1 grid, keep axis numbers on, and print. It's a numbered coordinate grid and graph paper in one: choose 5 mm, 1 cm or 2 cm squares, then set the quadrants, grid size and numbering. The rectangular grid fills the available page area; check the axis numbers in the preview for its range. Great for math worksheets, plotting ordered pairs, and coordinate-graphing practice.
A graphing calculator that prints real graph paper
Type a function to draw it onto a numbered, true-to-size grid you can print and hand out, stick in a notebook, or annotate by hand. Plot a parabola for a worksheet, sketch a sine wave for a lesson, or print a line and its reflection on the same axes — all as crisp vector PDF on Letter or A4.
How to type a function
Write the right-hand side of y = (the
y = itself is optional). Multiplication can
be implicit — 2x and 3(x+1) both work.
| You want | Type | Notes |
|---|---|---|
| Parabola | x^2 - 3 | Powers use ^ |
| Straight line | 2x + 1 | 2x means 2·x |
| Sine wave | sin(x) | Trig is in radians |
| Reciprocal | 1/x | Asymptotes are handled |
| Cubic | x^3 - 3x | Combine terms freely |
| Square root | sqrt(x) | Also: cbrt, abs |
| Exponential | 2^x | Or exp(x) |
| Logarithm | ln(x) | log = base 10 |
| Absolute value | log(|1 - x|) | Bars |…| = abs( ) |
Supported functions: sin cos tan asin acos atan sinh cosh tanh exp ln log log2 sqrt cbrt
abs sign floor ceil round min max pow, plus the constants pi and e.
What you can use it for
Making math worksheets and answer keys, studying transformations of functions, plotting a quick reference curve, comparing two functions in different colors, or just getting a clean, labeled coordinate plane to plot points by hand. Need an empty grid instead? Use the plain graph paper generator, or the isometric paper for 3D sketches.
How to print it
- Type your function(s) and choose the grid size and axes.
- Click Print / Save as PDF.
- Set Margins: None and Scale: 100% so the squares stay true size.
- Print, or choose “Save as PDF”. Prefer an image? Use Download PNG.
Frequently asked questions
How do I print a four-quadrant coordinate plane?
Use the Blank plane preset for an empty, numbered four-quadrant grid, then select Print / Save as PDF. To switch to positive numbers only, set Axes to Corner — quadrant 1 only. You can also clear all three function boxes manually and keep Show axis numbers on.
Can I make an exact 10×10 or 20×20 coordinate plane?
The grid fills the printable area of Letter or A4, so it is rectangular and does not lock to an exact 10×10 or 20×20 square. The visible range depends on cell size, orientation, axes and units per square. Choose 5 mm, 1 cm or 2 cm cells, then check the axis numbers in the preview to see the available range.
Can I change the scale — what one square is worth?
Yes. Choose the X and Y scale independently from the available values between 0.25 and 100 units per square. Use a small Y scale (e.g. 1 square = 0.25) so a low-amplitude curve like sin(x) fills more of the grid, or a large one for steep curves like x³. Turn on Show the scale key to print what one square equals on each axis. The physical square size stays the same.
What functions can I graph?
Any single-variable function y = f(x): polynomials (x^2 - 3), fractions (1/x), roots (sqrt(x), cbrt(x)), trigonometry (sin, cos, tan and their inverses, in radians), exponentials (2^x, exp(x)) and logs (ln for natural log, log for base-10, log2, or log(base, value) for any base). You can also use pi and e, and absolute value either as abs(x) or with bars, e.g. |1 - x| or log(|1 - x|).
How do I type powers, fractions and multiplication?
Use ^ for powers (x^2), / for division (1/x or (x+1)/2), and you can write multiplication implicitly — 2x, 3(x+1) and 2sin(x) all work, as does 2*x if you prefer. A leading 'y =' or 'f(x) =' is optional.
Can I plot more than one function at once?
Yes. Enter up to three functions and each is drawn in its own color, with a small equation key on the sheet — handy for comparing a function and its transformation, or a line and a curve.
Is the printed graph paper actually to scale?
Yes. The grid is drawn as true-size vector squares (you choose 5 mm, 1 cm or 2 cm cells), so when you print at 100% with margins set to None, every square measures exactly that on the page — on both US Letter and A4.
Does it handle asymptotes like tan(x) or 1/x?
Yes. Where a function shoots off to infinity (the asymptotes of tan(x), 1/x, ln(x) near 0), the curve is broken cleanly instead of drawing a false vertical line through the gap.
Is it free, and does it work on Letter and A4?
Completely free, no signup and no watermark. Choose US Letter (8.5 × 11 in) or A4, portrait or landscape, center the axes for all four quadrants or drop them to the corner for quadrant-one work.