Question

A toy rocket was launched from the ground. The function f(x) = -16x² + 160x 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?
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A) x = 10; it takes 10 seconds to reach the maximum height and 10 seconds to fall back to the ground
B) x = 10; it takes 10 seconds to reach the maximum height and 20 seconds to fall back to the ground
C) x = 5; it takes 5 seconds to reach the maximum height and 10 seconds to fall back to the ground
D) x = 5; it takes 5 seconds to reach the maximum height and 5 seconds to fall back to the ground
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I was absent for a week and we only touched up on this one day when I got back.
I really appreciate any and all help given.
Ranking Brianliest to the one who can give step by step instruction included in their answer.

Answer 1

The answer is D. All you have to do is graph the equation, and you will have the vertex and the roots. By the way, you can rule out B and C because those two do not follow the rules of a quadratic. Also, A and B have the wrong axis of symmetry, because the rocket lands after 10 seconds.