Respuesta :
For a quadratic function f(x) = ax² + bx + c, we can find the minimum and maximum value using the formula -b/2a or by graphing the function.
We know that the general form of quadratic function is f(x) = ax² + bx + c ; a ≠ 0
The graph of quadratic function is a parabola. The graph is parabola that either opens upward or downward.
For a quadratic function is f(x) = ax² + bx + c,
if a is positive (a > 0) then the parabola opens upward.
In this case you will be finding the minimum value of f(x) at the vertex of parabola.
if a is negative (a < 0), then the parabola opens downward.
In this case you will find its maximum value of f(x) at the vertex of parabola.
Also, the value of -b/2a will tell you the minimum or maximum value of f(x) which is the vertex of the parabola.
Therefore, to find the minimum and maximum of a quadratic function f(x) = ax² + bx + c :
1) find vertex of function from the graph
2) use formula -b/2a
Learn more about the quadratic function here:
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