# Graph of implicit function f(x,y) = 0

Input only f(x,y) and g(x,y) (g is not mandatory), do not input " = 0 ".

## How to use this calculator ?

• **f(x,y)** : two variables function that defines the graph to plot.

The graph connects points (x,y) of the plane that verifie f(x,y) = 0 (do not input the second equality member " = 0 ").

Note that the two variables of f are always x and y.

• **g(x,y)** : second optional graph to plot.

• **x _{min}** and

**x**: Mandatory fields. This is the range of x-coordinates to include in the plot.

_{max}
• **y _{min}** and

**y**: Mandatory fields. This is the range of y-coordinates to include in the plot.

_{max}
You may input numbers, fractions, operators and common functions.

- Operators : + - * / and ^ (power)

- Constants : pi, e

- Common functions : sqrt (= square root), log, exp, etc

- Trigonometric functions : cos, sin, tan, cot, arccos, arcsin, arctan, arccot, etc

Authorized functions are listed in this calculator : authorized functions

## Examples

• **Example 1**. Draw an ellipse given its equation : `(x-2)^2/5+(y-7)^2/15=7`

In this case the ellipse is defined by the implicit function `f(x,y)=(x-2)^2/5+(y-7)^2/15-7=0`

Then input f(x,y) in the form above to get the following ellipse graph.

• **Example 2**. Visually check the intersection between a conic section of equation `x+5xy+8y=7` and the line of equation `y =x-1`

The conic section is defined by the implicit function `f(x,y)=x+5x*y+8y-7=0`

The line is defined by the implicit function `g(x,y)=y-x+1=0`

So, we input f(x,y) and g(x,y) in the calculator above to get following graph.

## See also

Plot graph of function of one variable y=f(x)

Functions Calculator

Math Calculators