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Can a quadratic functions have a maximum and a minimum?
Yes
How do you know if a quadratic has a minimum or maximum value?
When the quadratic is written in the form: y = ax2 + bx + c then if a > 0 y has a minimum if a < 0 y has a maximum and if a = 0 y is not a quadratic but y = bx + c, and it is linear. The maximum or minimum is at x = -b/(2a)
Maximum and minimum values of quadratic formula?
maximum and minimum are both (-b/2a , c - (b^2/4a))
How can a quadratic function have both a maximum and a minimum point?
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.
What is the minimum or maximum point called in a quadratic equation?
They are simply referred to as local minimums and maximums. Experience: Algebra 2 Advanced
