Answer:
x = 2
Step-by-step explanation:
H(x) = 64x - 16x²
<u>Find the value of x when the ball reaches its maximum height.</u>
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Since the largest degree in this equation is two, this function represents a parabola. We can find the maximum height of the ball at the vertex of the quadratic.
In H(x) = 64x - 16x², rearrange the powers from greatest to least:
Vertex: [-b/2a, f(-b/2a)]
Substitute a and b into the x-value of the vertex: -b/2a.
The vertex of the parabola is at x = 2, with a maximum height of H(2).
