I have no idea how to begin to solve this problem! I hope somebody can help me!!!
Here's the problem...
Let f(x) = ax2 + bx + c be a quadratic function, where a, b and c are parameters.
(a) Find all real values of a, b and c such that f(x) - f(x - 2) = x.
(b) Given the specific values of a and b in (a) and c = -1, find the zero(s) of the function and the coordinate of the point where the function achieves its minimum or maximum.
Here's the problem...
Let f(x) = ax2 + bx + c be a quadratic function, where a, b and c are parameters.
(a) Find all real values of a, b and c such that f(x) - f(x - 2) = x.
(b) Given the specific values of a and b in (a) and c = -1, find the zero(s) of the function and the coordinate of the point where the function achieves its minimum or maximum.