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Quadratic graph features

Enter a quadratic and we'll use completing the square to find the turning point, y-intercept and x-intercepts, with a labelled graph. Free, no sign-up. More help: GCSE maths revision · Factorise quadratics

Sketch and interpret quadratic graphs for GCSE (e.g. y = x² − 4x + 3). We rewrite the expression in completed-square form, read off the turning point and line of symmetry, find where the curve crosses the axes, and draw the parabola with every key feature marked. Related tools: factorise quadratics and expand quadratics.

Insert:

Use x² or x^2 for the squared term. Enter the right-hand side only (we add y = for you).