Explain why the graph of quadratic function could not contain both a minimum vertex and a maximum vertex at the same time. your explanation should be 3-4 sentences and include at least 6 of the following words/phrase. -parabola - u-shaped graph - vertex - minimum - maximum - y-value of the vertex - x-value of the vertex - quadratic function

A quadratic function is a function of the form . The vertex,  of a quadratic function is determined by the formula:  and ; where  is the x-coordinate of the vertex and  is the y-coordinate of the vertex. The value of  determines if the parabola opens upward or downward; if is positive, the parabola opens upward and the vertex is the minimum value, but if  is negative the graph opens downward and the vertex is the maximum value. Since the quadratic function only has one vertex, it could not contain both a minimum vertex and a maximum vertex at the same time.