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A quadratic function is given as f(x) = ax² + bx + c where a, b and c are coeffiecients. Sometimes, it is also written in the form of f(x) = a(x - h)² + k where (h, k) is the coordinates of the vertex.
Slide the values of a, b, c, h and k to observe the change of the graph f(x) = ax² + bx + c and f(x) = a(x - h)² + k. Can you get the formulae relating the values of a, b and c with the values of h and k?