A toy rocket was launched from the ground. The function f(x) = -16x2 + 128x 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?
Stacey Warren - Expert brainly.com
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so the 'x' coordinate of our vertex is 4...
so I'm going to say the rocket would take 4 seconds to get up to maximum height...and then it will fall back down taking 4 seconds
How do i know it will only take 4 seconds to get down? Well I would find out the x-intercepts of the parabola by factoring
-16x^2 + 128x = 0
factor our like terms
-16x(x - 8) = 0
so we have 2 equations
-16x = 0
(x - 8) = 0
well that means our 2 x intercepts are 0 and 8
So if it take 4 seconds to go up to the max height...we only have 4 seconds to fall back down
Hence the answer being B