Final answer:
The question seeks the max/min value of a quadratic function with coefficients a = 1.00, b = 10.0, c = -200. Since a is positive, the parabola opens upwards, indicating that the vertex (-5, f(-5)) is the minimum value of the function, not the maximum.
Step-by-step explanation:
The question asks for the maximum or minimum value of a quadratic function defined by the constants a = 1.00, b = 10.0, and c = -200. The general form of a quadratic equation is at² + bt + c = 0 and its maximum or minimum value can be found using the vertex formula, which is derived from the coefficients of the quadratic equation.
The vertex of a quadratic function, which is either its maximum or minimum point, is given by the formula (-b/(2a), f(-b/(2a))). In this specific example where a = 1, b = 10, and c = -200, substituting these values into the formula we get (-10/(2×1), f(-10/(2×1))), which simplifies to (-5, f(-5)). Since 'a' is positive (a = 1), the parabola opens upwards, indicating that the vertex represents the minimum point of the function.
Therefore, the correct answer would be the one that indicates the vertex as the minimum and not the maximum value. The actual numerical value of the minimum can be found by evaluating the function at the vertex, f(-5).