What Is the Minimum or Maximum Value of a Quadratic Function?

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You can use a graph to identify the vertex or you can find the minimum or maximum value algebraically by using the formula x = -b / 2a. This formula will give you the x-coordinate of the vertex. Simply replace the x in your original equation with the value of the x-coordinate and then solve for y.Click to see full answer. Similarly, you may ask, what is the minimum value of a quadratic function?The minimum value of a function is the place where the graph has a vertex at its lowest point. In the real world, you can use the minimum value of a quadratic function to determine minimum cost or area.Also, what is the maximum or minimum value of the function what is the range? To determine if this is a maximum or minimum, look at the value of a. It is -2. Since it is negative, this means the parabola opens downward, and the vertex is a maximum. Since this is a maximum at y=116, this means the range, our y-values, will be less than or equal to this value of 116. Subsequently, question is, how do you find the maximum value of a function? If you are given the formula y = ax2 + bx + c, then you can find the maximum value using the formula max = c – (b2 / 4a). If you have the equation y = a(x-h)2 + k and the a term is negative, then the maximum value is k.What is the minimum value of a parabola?Parabolas that open up or open down have what is referred to as minimum and maximum value. The maximum value of a parabola is the y-coordinate of the vertex of a parabola that opens down. The minimum value of a parabola is the y-coordinate of the vertex of a parabola that opens up.