2 Quadratic functions

2.1 Find the maximum or minimum value of the quadratic function f: x ↦ ax2 + bx + c by completing the square or by differentiation.

2.1 Find the maximum or minimum value of the quadratic function f: x ↦ ax2 + bx + c by completing the square or by differentiation.

2.1 Exercises

2.2 Use the maximum or minimum value of f(x) to sketch the graph of y = f(x) or determine the range for a given domain.

2.2 Use the maximum or minimum value of f(x) to sketch the graph of y = f(x) or determine the range for a given domain.

2.2 Exercises

2.3 Know the conditions for f(x) = 0 to have: (i) two real roots (ii) two equal roots (iii) no real roots

2.3 Know the conditions for f(x) = 0 to have: (i) two real roots (ii) two equal roots (iii) no real roots

2.3 Exercises

2.4 Solve quadratic equations for real roots.

2.4 Solve quadratic equations for real roots.

2.4 Exercises

2.5 Find the solution set for quadratic inequalities either graphically or algebraically.

2.5 Find the solution set for quadratic inequalities either graphically or algebraically.

2.5 Exercises

2 Quadratic functions- past paper

2 Quadratic functions- past paper- 2025