1. Write the equation as y = f(x)
This version graphs explicit equations where y is isolated on one side. For example, y = 3x + 2 can be plotted directly. Equations such as x² + y² = 9 need an implicit-equation solver and are not supported here.
Equation Grapher
Enter an explicit equation in y = f(x) form, such as y = x² − 4 or y = 3x + 2, to display its curve. Explore coordinates, adjust the view, and compare how different equations behave on the same graph.
Plot an equation
Drag to pan · Wheel to zoom
How to graph an equation step by step
2. Understand the graph
The horizontal axis represents x and the vertical axis represents y. Every point on the curve represents an input-output pair that satisfies the equation.
3. Zoom to inspect details
Use zoom and pan controls to view a region more closely. A function may look different at different scales, so choose a range that makes the behavior clear.
4. Export for study
Download the visible graph as a PNG image for your notes. The image captures the current viewport, so position the graph before exporting.
Worked example: y = x² − 4
y = x² − 4
- Choose x = 0: y = 0² − 4 = −4, so (0, −4) lies on the graph.
- Choose x = 2: y = 2² − 4 = 0, so (2, 0) lies on the graph.
- Choose x = −2: y = (−2)² − 4 = 0, so (−2, 0) lies on the graph.
- These values show a parabola shifted four units downward from y = x².
How to plot an equation
Enter an explicit equation in y = f(x) form, such as y = 2x + 3. Plot it to see the curve, compare it with other functions, and use zoom and pan to inspect the graph. Implicit equations such as x^2 + y^2 = 9 are not supported by this graph engine.
Why Use a Equation Grapher?
Use an equation grapher to see the relationship between an equation and its visual representation. It is especially helpful when studying straight lines, parabolas, and other explicit functions written as y = f(x). Graphly Math lets you test equations, compare curves, and inspect how changing constants or powers affects the plotted result. This visual feedback can make abstract algebra topics more approachable and can help you spot mistakes in an entered expression. It is suitable for study practice, lesson preparation, and checking examples. The current tool focuses on explicit y-as-a-function-of-x equations, so verify that your equation fits the supported format before plotting.