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)
Stacey Warren - Expert brainly.com
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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
Alright well we see this is an upside down parabola...
lets find the vertex (where it changes direction)
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