Plot y = f(x) for any function of x — sin, cos, sqrt, log, exp, abs and ^ are understood — over the x range you set.
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From the article Using the Function and Graph Plotter for Exam Practice.
Consider y = x² − 5x + 6.
Factor: x² − 5x + 6 = (x − 2)(x − 3), so the roots are x = 2 and x = 3.
y-intercept: at x = 0, y = 6.
Vertex x-coordinate = −b/2a = −(−5)/(2×1) = 2.5; vertex y = (2.5)² − 5(2.5) + 6 =
6.25 − 12.5 + 6 = −0.25.
Plotting y = x² − 5x + 6 on the graph plotter should show a parabola opening upward, crossing the x-axis exactly at x = 2 and x = 3, crossing the y-axis at y = 6, with its lowest point at (2.5, −0.25). If the plotted curve crosses the x-axis anywhere else, the factoring above has an error.
Worked in full in Using the Function and Graph Plotter for Exam Practice.
This is one of the tools in the ABC Chemistry Calculator Suite, a free calculator built for IIT-JAM, CSIR-NET, GATE and CUET (Chemical Science) preparation. Nothing is behind a login and no result is stored on a server — the arithmetic runs in your own browser.
The Graph Plotter calculator above is the live tool — type your values and press its button; the answer appears in the same box. The link under it opens the full suite with this tool already selected, next to the others.