Tap the graph to trace an x value.
TRACE
x = 0y₁: -4y₂: 0
FREE ONLINE GRAPHING CALCULATOR
Graph equations online, compare functions, and inspect values.
Plot up to eight lines, polynomials, trigonometric functions, roots, logarithms, absolute values, rational functions, and vertical lines. Then use the graph, table, trace, and analysis views to understand how the functions behave in the current window.BUILT FOR REAL MATH WORK
Whether you need a graphing calculator or a graph solver online, Use this graphing calculator to compare and analyze equations, tables, roots, and intersections.
Add up to eight functions or vertical lines, then move between Graph, Table, and Analysis views. Use the Equation Solver when you need an algebraic solution, the Polynomial Solver for higher-degree roots, and the Statistics Calculator for raw-data summaries and regression.
HOW THIS GRAPHING CALCULATOR HELPS
Choose the view that answers your math question.
Plot multiple equations
Enter one relationship per line, including y = 2x + 1,y = x^2 - 4, or a vertical line such as x = 3. Keep lines visible to compare them in the same coordinate window.
Inspect a value table
Switch to Table view to see calculated y-values around the current trace position. This is useful when a curve is close to an axis or when you want to compare function outputs at the same x-values.
Trace points on a curve
Tap or click the graph, or move the trace slider, to inspect the current x-value and the visible function values at that point.
Estimate roots and intersections
Open Analysis to find approximate x-intercepts and crossing points for the visible functions inside the current graph window.
Adjust the graph window
Change x-min, x-max, y-min, and y-max when an important part of a curve is outside the view, appears too flat, or needs a closer comparison.
Use degrees or radians
Choose the correct angle mode before graphing sine, cosine, tangent, or inverse trigonometric functions. A correct expression can look wrong when the angle mode does not match the question.
STEP 1
Enter a clear expression
Usex^2 for a square, sqrt(x) for a square root,sin(x) for sine, and parentheses to make grouping clear.STEP 2
Choose a sensible window
Begin with the default view, then zoom or edit the window. For trigonometry in degree mode, a wider x-range such as −360 to 360 can reveal a full cycle.STEP 3
Read graph, table, and analysis together
Use the graph to understand shape, the table to compare exact sampled values, and Analysis to estimate roots and intersections in the selected window.STEP 4
Verify important answers
Graph analysis is numerical and window-dependent. For an exact algebraic answer, check the result with the Equation Solver or Polynomial Solver.WORKED GRAPHING EXAMPLES
Three ways to use the same workspace.
Compare a line and a parabola
y = x² − 4 and y = 2x + 1
Enter both equations, keep the default graph window, and open Analysis. The curves cross at approximately (−1.449, −1.899) and(3.449, 7.899). Use Table view near either x-value to check that both outputs are close.
See where a square-root graph begins
y = sqrt(x) and y = x / 2
The square-root function is only defined for x values of zero or greater in this real-number workspace. The visible intersections are(0, 0) and (4, 2), which the graph and table help you verify.
Compare a trig function with a target value
y = sin(x) and y = 0.5
Switch to DEG mode and set the x-window to roughly −360 through 360. Analysis shows the repeating places where sine reaches 0.5; within one cycle they occur near 30° and 150°.