About the Equation Grapher
Our equation grapher enables you to graph equations that can contain the variables x and y on both sides. That is, equations involving two variables that are in the general form G(x,y) = F(x,y) such as 2y^2+xy = x^2+2y
An equation grapher can also graph a function y = f(x). This is an special case of the general form, where G(x,y) = y F(x,y) = f(x) Whenever you have a function that is explicitly defined as y = f(x), you can simply type the right hand side to graph the function.
Being a more versatile graphing tool than a function grapher, our equation grapher can handle implicit functions because they are inherently defined by an equation Other expressions that an equation grapher can handle include the equation of a line in both general form (ax+by = c) and point-slope form (y-y₁ = m(x-x₁)), quadratic equation—whose graphs are conic sections (circles, ellipses, parabolas, and hyperbolas)— and level curves, for example.
Try our Graphing Calculator, which in addition to graphing equations and functions can graph parametric equations and points.
Lines
1 x+1 2xSemi-circles
√(9-x^2) -√(9-x^2)Semi-ellipses
√(9-x^2/3) √(9-x^2/3)Parabolas
x^2 0.5x^2-4x+1 -(0.5x^2-4x+1)Semi-hyperbolas
√(x^2-4) -√(x^2-4)Other graphs
√(4sin(2x)) √(4cos(2x))Lines
y = 1 x = 1 y = x+1 x = y+1 3x + y = 2 3x - y +5 = 4x+2y-2Circles
x^2+y^2 = 9 (x-2)^2 + (y-2)^2 = 4Ellipses
x^2/4 + y^2/9 = 1 x^2-xy+2y^2-x-2y-8=0Parabolas
y=x^2 y = x^2-4x+4 2x^2-4xy+2y^2-x-2y-2=0Hyperbolas
x^2/4 - y^2/9 = 1 2x^2-5xy-4y^2+9x+9y-16=0Other graphs
x^2 = y^2 sin(xy) = cos(xy)Calculator is loading.
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To copy or save graphs right click on the image of a saved graph below and select "Copy image" or "Save image" from the pop-up menu.
Instructions for Using the Equations Grapher
Tips - as you type:
- pi is replaced by π.
- inf (infinity) is replaced by ∞.
MouseMatics: Find out how to use your mouse to rotate axes, change scales, and translate coordinate systems.