Plot a function graph from a formula, compare two functions, inspect intersections, export PNG and share a link.
x^2 - power (x^2)sqrt(x) or √x - square rootabs(x) or |x| - absolute valuesin(x), cos(x) - sine, cosinetan(x) or tg(x) - tangentctg(x) - cotangentln(x) - natural logarithmlog(x) - base-10 logarithm (lg)exp(x) - exponential (e^x)pi, e - constants pi and e*, division /. Before x the multiplication sign is optional: 2x, 3sin(x) — work.Range
Scale and actions
Intersection points
Value table
Popular graphs with explanations (20 functions)
Graph of y = 2xy = 2x
A straight line through the origin. Two points are enough: at x = 0, y = 0; at x = 1, y = 2.
The coefficient 2 means y grows by 2 every time x grows by 1.
Graph of y = 3xy = 3x
A steeper straight line through (0, 0). Example points: x = 1 gives y = 3, x = -1 gives y = -3, x = 2 gives y = 6.
The slope is 3, so each unit step in x changes y by 3.
Graph of y = -2xy = -2x
A straight line with a negative slope. At x = 1, y = -2; at x = -1, y = 2.
The minus sign reverses the direction: as x increases, y decreases.
Graph of y = -3x + 1y = -3x + 1
A line with slope -3 shifted up by 1. It crosses the Y axis at (0, 1).
For the X intercept, solve -3x + 1 = 0, so x = 1/3.
Graph of y = 2x + 1y = 2x + 1
A line with slope 2 and Y intercept 1. Good reference points are (0, 1) and (1, 3).
It crosses the X axis when 2x + 1 = 0, so x = -0.5.
Graph of y = 2y = 2
A horizontal line at height 2. The function has the same value for every x.
It intersects the Y axis at (0, 2) and does not cross the X axis.
Graph of y = x^2y = x^2
An upward parabola with vertex at (0, 0). Values for x = -3, -2, -1, 0, 1, 2, 3 are 9, 4, 1, 0, 1, 4, 9.
The function is even, symmetric about the Y axis and has y >= 0.
Graph of y = 2x^2y = 2x^2
A parabola with the same vertex as y = x^2 but narrower because the coefficient is larger than 1.
At x = 1, y = 2; at x = 2, y = 8.
Graph of y = -x^2y = -x^2
A downward parabola with vertex at (0, 0). At x = +/-1, y = -1; at x = +/-2, y = -4.
It is the reflection of y = x^2 across the X axis.
Graph of y = x^2 - 4x + 3y = x^2 - 4x + 3
An upward parabola. The vertex is at x = 2 and y = -1, so the vertex is (2, -1).
The X intercepts are x = 1 and x = 3; the Y intercept is 3.
Graph of y = (x - 2)^2y = (x - 2)^2
This is y = x^2 shifted right by 2 units. The vertex is (2, 0).
In general, y = (x - a)^2 shifts the parabola right by a.
Graph of y = 2/xy = 2/x
A reciprocal curve with two branches in the first and third quadrants. It is undefined at x = 0.
The X and Y axes are asymptotes: the graph approaches them but does not cross them.
Graph of y = 3/xy = 3/x
A reciprocal curve farther from the axes than y = 2/x. Points include (1, 3), (3, 1) and (-1, -3).
Increasing the numerator moves the branches farther from the axes.
Graph of y = x^3y = x^3
A cubic curve through (0, 0). Values for x = -2, -1, 0, 1, 2 are -8, -1, 0, 1, 8.
It is odd, symmetric about the origin and increasing everywhere.
Graph of y = x^4y = x^4
Similar to y = x^2 but flatter near the X axis and steeper near the edges.
It is even and all values are nonnegative.
Graph of y = 2^xy = 2^x
An increasing exponential curve. At x = 0, y = 1; x = 1 gives 2; x = 2 gives 4; x = -1 gives 0.5.
It crosses the Y axis at (0, 1) and has the X axis as a horizontal asymptote.
Graph of y = 3^xy = 3^x
An exponential curve that grows faster than 2^x. At x = 0, y = 1; x = 1 gives 3; x = 2 gives 9.
For y = a^x with a > 1, the function increases and always passes through (0, 1).
Graph of y = sqrt(x)y = sqrt(x)
Defined only for x >= 0. Points include (0, 0), (1, 1), (4, 2) and (9, 3).
The curve starts at the origin and rises more slowly as x grows.
Graph of y = abs(x)y = abs(x)
A V-shaped graph with vertex at (0, 0). The right branch is y = x and the left branch is y = -x.
Values are always nonnegative and the graph is symmetric about the Y axis.
Graph of y = sin(x)y = sin(x)
A periodic wave with period 2pi. Values range from -1 to 1.
It crosses the X axis at 0, +/-pi, +/-2pi and so on.
What this graph plotter does
Enter a formula in x and the calculator draws the curve in the browser. It supports common functions, adjustable ranges, automatic Y scaling, a value table, axis intercepts, graph intersections, a larger mobile view, PNG export and a shareable link with the current settings.
Supported syntax
Use x, parentheses and standard operators: +, -, *, / and ^. The parser also accepts sqrt, abs, sin, cos, tan, ln, log, exp, pi and e. Multiplication before x can be omitted, so 2x and 3sin(x) work.
Reading the result
Use the checkboxes to display intercepts and coordinate labels. Add a second function when you need to compare curves or find approximate intersection points. For a narrow feature or discontinuity, reduce the X range and then use Auto Y.
Limits
The tool samples the function numerically. It is not a symbolic algebra system and it does not prove roots, derivatives or integrals. Undefined values are skipped so discontinuities may appear as separated curve segments.
