Find the maximum or minimum value of the quadratic function f : x ↦ ax^2 + bx + c by any method.
0606C2.2
Use the maximum or minimum value of f(x) to sketch the graph or determine the range for a given domain.
0606C2.3
Know the conditions for f(x) = 0 to have two real roots, two equal roots, no real roots. Know the related conditions for a given line to intersect a given curve, be a tangent to a given curve, not intersect a given curve.