Question

The graph of every quadratic function f(x) = ax^2 + bx + c is a parabola.

True

False

Answer 1

True — by definition a quadratic function has a ≠ 0, and y = ax^2 + bx + c (a ≠ 0) is a parabola (opens up if a>0, down if a<0). If a = 0 the formula gives a line, but then it is not a quadratic.