Question

will any one help
A toy rocket was launched from the ground. The function f(x) = -16x2 + 256x shows the height of the rocket f(x), in feet, from the ground at time x seconds.
What is the axis of symmetry of the graph of f(x) and what does it represent? (3 points)

Answer 1

x = 8; it takes 8 seconds to reach the maximum height and 8 seconds to fall back to the ground

x = 16; it takes 16 seconds to reach the maximum height and 16 seconds to fall back to the ground

x = 8; it takes 8 seconds to reach the maximum height and 16 seconds to fall back to the ground

x = 16, it takes 16 seconds to reach the maximum height and 32 seconds to fall back to the ground

Answer 2

take the derivative of -16x2 + 256x and let it = 0 when the slope = 0 is its max ht.