Algebra Graphing Calculator
Free online 2D graphing calculator for algebra and geometry. Plot functions, explore coordinate geometry, and visualize algebraic equations with real-time interactive graphs.
Graph Controls
Quick Presets
Plotting Tips
Use standard math notation like ^ for powers and sqrt() for square roots. Zoom is controlled by the Range slider.
How Algebra Graphing Works
Algebraic graphing is the process of visualizing mathematical relationships on a two-dimensional coordinate system. By plotting the set of all points (x, y) that satisfy an equation, we can see the geometric shape of the function.
- 1Linear functions (y = mx + b) create straight lines
- 2Quadratic functions (y = ax^2 + bx + c) create parabolas
- 3Trigonometric functions (sin, cos) create periodic waves
- 4Inverse functions (1/x) create hyperbolas with asymptotes
Formula
y = f(x)The calculator plots points (x, y) on a 2D plane based on your mathematical function.
Example
Frequently Asked Questions
What functions can I plot?
You can plot any standard algebraic function using x as the variable. Supported functions include powers (x^2), roots (sqrt), trigonometry (sin, cos, tan), and common constants like pi and e.
How do I find the roots of a function?
The roots (or x-intercepts) are the points where the graph crosses the horizontal x-axis (where y = 0). You can use the coordinate grid to estimate these points.
Can I zoom in on the graph?
Yes, use the "View Range" slider to adjust the zoom level. A smaller range zooms in on the origin, while a larger range shows more of the graph.
What does a negative sign do to an equation?
A negative sign in front of the entire function (e.g., -x^2) reflects the graph across the x-axis. A negative sign inside (e.g., sin(-x)) reflects it across the y-axis.
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