Answer:
b) The a value of the equation will be positive
Explanation:
The vertex form of a quadratic equation is given by y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex of the parabola represents the maximum height of the football.
From the graph, we can see that the vertex of the parabola is located at (2.5, h), where h is the maximum height of the football. Therefore, we know that the x value of the vertex is 2.5, which means that option c is true.
Since the vertex represents the maximum height of the football, we know that the y value of the vertex is the maximum height. Therefore, option a is also true.
The coefficient "a" in the vertex form of the quadratic equation determines whether the parabola opens upwards (when a is positive) or downwards (when a is negative). Since the football is initially punted upwards and then falls back down, we know that the parabola opens downwards. Therefore, option b is false because the value of "a" in this case will be negative.
In summary, the statement that is NOT true is option b: the "a" value of the equation will be positive.