Determine the equation of the graph calculator

Related » Graph » Number Line » Challenge » Examples »

Our online expert tutors can answer this problem

Get step-by-step solutions from expert tutors as fast as 15-30 minutes. Your first 5 questions are on us!

You are being redirected to Course Hero

I want to submit the same problem to Course Hero

Correct Answer :)

Let's Try Again :(

Try to further simplify

Number Line

Graph

Hide Plot »

Sorry, your browser does not support this application

Examples

line\:(-2,\:4),\:(1,\:2)
slope\:3x+3y-6=0
parallel\:2x-3y=9,\:(4,-1)
perpendicular\:y=4x+6,\:(-8,-26)
domain\:y=\frac{x^2+x+1}{x}
range\:y=\frac{x^2+x+1}{x}
asymptotes\:y=\frac{x}{x^2-6x+8}
extreme\:points\:y=\frac{x^2+x+1}{x}
intercepts\:f(x)=\sqrt{x+3}
f(x)=2x+3,\:g(x)=-x^2+5,\:f\circ \:g

functions-line-calculator

Search for a tool

Function Equation Finder

Tool to find the equation of a function from its points, its coordinates x, y=f(x) according to some interpolation methods and equation finder algorithms

Results

Function Equation Finder -

Tag(s) : Functions

dCode and more

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!

Mathematics
Functions
Function Equation Finder

Function Equation Search

Answers to Questions (FAQ)

How to find the equation of a curve?

To find the equation from a graph:

Method 1 (fitting): analyze the curve (by looking at it) in order to determine what type of function it is (rather linear, exponential, logarithmic, periodic etc.) and indicate some values in the table and dCode will find the function which comes closest to these points.

Method 2 (interpolation): from a finite number of points, there are formulas allowing to create a polynomial which passes exactly through these points (see Lagrange interpolation), indicate the values of certain points and dCode will calculate the passing polynomial by these points.

How to find an equation from a set of points?

To derive the equation of a function from a table of values (or a curve), there are several mathematical methods.

Method 1: detect remarkable solutions, like remarkable identities, it is sometimes easy to find the equation by analyzing the values (by comparing two successive values or by identifying certain precise values).

Example: a function has for points (couples $ (x,y) $) the coordinates: $ (1,2) (2,4), (3,6), (4,8) $, the ordinates increase by 2 while the abscissas increase by 1, the solution is trivial: $ f (x) = 2x $

Method 2: use a interpolation function, more complicated, this method requires the use of mathematical algorithms that can find polynomials passing through any points. The most well known interpolations are Lagrangian interpolation, Newtonian interpolation and Neville interpolation.

NB: for a given set of points there is an infinity of solutions because there are infinite functions passing through certain points. dCode tries to propose the most simplified solutions possible, based on affine function or polynomial of low degree (degree 2 or 3).

How to find the equation of a line?

Source code

dCode retains ownership of the "Function Equation Finder" source code. Except explicit open source licence (indicated Creative Commons / free), the "Function Equation Finder" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Function Equation Finder" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Function Equation Finder" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.

Cite dCode

The copy-paste of the page "Function Equation Finder" or any of its results, is allowed as long as you cite dCode!
Cite as source (bibliography):
Function Equation Finder on dCode.fr [online website], retrieved on 2022-10-30, //www.dcode.fr/function-equation-finder

Summary

//www.dcode.fr/function-equation-finder

▲

How do you find an equation from a graph?

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.

How do you find the equation of the line?

To find an equation of a line given the slope and a point..

Identify the slope..

Identify the point..

Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) . y − y 1 = m ( x − x 1 ) ..

Write the equation in slope-intercept form..

What is the graph calculator?

A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations such as parabolas and other plotted results. Graphing calculators are also more sophisticated than basic calculators in processing multiple equations and performing more complex types of calculations.