WELCOME

On this site, you can draw graphs of various functions such as linear functions, quadratic functions, trigonometric functions, exponential / logarithmic functions, etc., which are studied in junior high school and high school.

Please use it when you want to know the outline of the graph quickly, such as a math assignment.

The school of fish in the background actually moves based on a simple rule that can be expressed by only four mathematical formulas.

I hope that you will learn mathematics and make great use of that knowledge in the future.

WHAT'S NEW

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CUSTOM FUNCTION

Custom graph icon

Custom

y =

POLYNOMIAL

Linear graph icon

Linear

y = x +
Quadratic I graph icon

Quadratic I

y = x2 + x +
Quadratic Ⅱ graph icon

Quadratic Ⅱ

y = ( x - ) 2 +
Cubic graph icon

Cubic

y = x3 + x2 + x +
Quartic

Quartic

y = x4 + x3 + x2 + x +

TRIGONOMETRIC

Sine graph icon

Sine

y = sin x
Cosine graph icon

Cosine

y = cos x
Tangent graph icon

Tangent

y = tan x

EXP / LOG

Exponential graph icon

Exponential

y = e x
Logarithm graph icon

Logarithm

y = loge x

CIRCLE

Circle graph icon

Circle

( x - ) 2 + ( y - ) 2 = 2
Ellipse graph icon

Ellipse

( x ) 2 + ( y ) 2 = 1

OTHER FUNCTIONS

Gaussian Distribution graph icon

Gaussian Distribution N(μ,σ2)

y = N ( , )
Cardioid

Cardioid

r = ( 1 + cos / θ )
* Each θ coeffs must be integer.
Astroid graph icon

Astroid

x2/3 + y2/3 = 2/3
Lissajous Curve graph icon

Lissajous Curve

x = sin ( θ + )
y = sin ( θ + )
* Each θ coeffs must be integer.

EXTRA

It is a page to just look at the fish in the background. On this page you can increase sharks and place obstacles to control the movement of the school of fish.

CONTACT

If you have any requests or inquiries regarding this site, please use the form below. "I'd like to use new function like ...", "There is a bug in the graph drawing of this function." , Etc., even if it is a trivial matter, so feel free to comment.

Email address is optional. But if you would like to receive reply, please fill in the email address.

DISCLAMER

Graphs such as quadratic functions and cubic functions can be drawn automatically on this site. Please use this site when you want to know the shape of the graph in a math assignment.

Because of the graph is drawn by connecting a finite number of points, it may not be possible to draw the correct shape if the "Graph Gensity" is low.

"Graph Density" can be changed with the button at the bottom of the drawing result window. Increasing the "Graph Density" will result in a more accurate graph shape, but it will require more calculation.

I try to make no mistakes when creating the drawing program, but I am also a human being, so there may be some mistakes. Damage caused by deficiencies in this site cannot be compensated, so please use at your own risk.

Please let me know using contact form if there are any bugs.

CHANGE LOG

2023.02Navigation menu added. Minor design changes.
2022.07English page opened. Here is Japanese page.
2022.05Implemented graph animation and locus slider.
2022.04Added coefficients to the cardioid function. By changing the coefficient of θ, you can draw complicated and beautiful graph.
2022.04You can now jump to the next coefficient by pressing the return key.
2021.07Changed home page url. When you access the old URL, you will be automatically redirected to the new page.
2020.03Fixed a bug that the draw button of the linear function did not work. And optimized the "custom function".
2020.03Implemented "custom function". You can combine various functions and generate graph.
2020.01Added graph download button in the drawing result page.
2019.11The local maximum / minimum coordinate information of is now displayed in the drawing result of the cubic function.
You can check the value by mouse over.
2019.10Major update to accelerate website。Please let me know using contact form if there are any bugs.
2019.08Adjusted School of fish animation parameters. And minor UI update.
2019.07Implemented school of fish toggle button.
2019.06Another y=(x-p)2+q type of quadratic function added.
2019.05School of fish viewing page opened.
2019.04Implemented contact form.
2019.04Added Lissajous figure.
2019.03The coordinate information of vertex is now displayed in the drawing result of the quadratic function.
2019.01Clicking on the background will now add fish.
2019.01Added interesting functions such as cardioid and astroid.
2018.09Added the page of the course on how to draw graphs of quadratic and cubic functions. (Japanese page only)
2018.08School of fish animation implemented.
2018.07Open a test page with an automatic drawing function for basic functions such as quadratic and cubic functions.