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Quadratic graphs: roots, completing the square and inequalities

Adjust coefficients a, b and c in y = ax² + bx + c to explore the discriminant, roots, turning point, line of symmetry, completing the square, and shaded quadratic inequalities.

Coefficients in y = ax² + bx + c

Coefficient a (x² term — controls shape, a ≠ 0) a = 1.0

Coefficient b (x term) b = -2.0

Constant c (y-intercept) c = -3.0

Quadratic graphs: roots, completing the square and inequalities

Coefficients in y = ax² + bx + c

Completing the square step by step

Discriminant (b² − 4ac) & quadratic formula