Answer:
Are you asking about the maximum height?
The given function, h(x) = 3 + 128x - 16x^2, represents the height of a baseball after it is struck by a bat.
To find the maximum height, we need to determine the vertex of the parabolic function. The vertex of a parabola in the form ax^2 + bx + c can be found using the formula x = -b / (2a).
In this case, a = -16, b = 128, and c = 3. Plugging these values into the formula, we have:
x = -128 / (2*(-16))
x = -128 / (-32)
x = 4
So, the x-coordinate of the vertex is 4.
To find the corresponding y-coordinate, we substitute the value of x into the function h(x):
h(4) = 3 + 128(4) - 16(4)^2
h(4) = 3 + 512 - 16(16)
h(4) = 3 + 512 - 256
h(4) = 259
Therefore, the maximum height of the baseball is 259 units.
It's important to note that the units of measurement for height are not specified in the given function. Make sure to provide the appropriate units based on the context of the problem.
