The quadratic function f(x) = ax2 + bx + c will have only the maximum value when the the leading coefficient or the sign of "a" is negative. When "a" is negative the graph of the quadratic function will be a parabola which opens down. The maximum value is "y" coordinate at the vertex of the parabola.
Does every quadratic have a minimum or maximum value?
Finding the Domain and Range of a Quadratic Function. Any number can be the input value of a quadratic function. Therefore the domain of any quadratic function is all real numbers. Because parabolas have a maximum or a minimum at the vertex, the range is restricted.
Do all quadratic functions have a maximum value?
The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. If your quadratic equation has a negative a term, it will also have a maximum value. ... If you are given the formula y = ax2 + bx + c, then you can find the maximum value using the formula max = c - (b2 / 4a).
