This is a tutorial on using quadratic functions to solve problems. The solutions and the explanations are detailed.
the graph of a quadratic function of the form
If a > 0, the vertex is a minimum point and the minimum value of the quadratic function f is equal to k. This minimum value occurs at x = h = -b/2a.
If a < 0, the vertex is a maximum point and the maximum value of the quadratic function f is equal to k. This maximum value occurs at x = h = -b/2a.
Example - Problem 1 : The profit (in thousands of dollars) of a company is given by.
Solution to Problem 1:
Example - Problem 2 : An object is thrown vertically upward with an initial velocity of Vo feet/sec. Its distance S(t), in feet, above ground is given by
Solution to Problem 2: