Can someone help I will give medal I don't not understand how to do this A sandbag was thrown downward from a building. The function f(t) = -16t2 - 32t + 384 shows the height f(t), in feet, of the sandbag after t seconds: Part A: Factor the function f(t) and use the factors to interpret the meaning of the x-intercept of the function. (4 points) Part B: Complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph? (4 points) Part C: Use your answer in part B to determine the axis of symmetry for f(x)? (2 points)

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Can someone help I will give medal I don't not understand how to do this A sandbag was thrown downward from a building. The function f(t) = -16t2 - 32t + 384 shows the height f(t), in feet, of the sandbag after t seconds: Part A: Factor the function f(t) and use the factors to interpret the meaning of the x-intercept of the function. (4 points) Part B: Complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph? (4 points) Part C: Use your answer in part B to determine the axis of symmetry for f(x)? (2 points)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Part A start here \(\large f(t) = -16t^2 - 32t + 384 = -16(t^2 +2t - 24) \) now make it \(\large f(t) = -16(t-a)(t-b) \) ie factor it. x = a and x = b are where f(t) = 0.
Do I factor -16 with (t-a)(t-b)?
a made up example: \(\large f(t) = - 15 (t^2 + t - 6) = -15(t-2)(t+3)\) so, in our example, we know that f(t) = 0 at t = 2 and t = -3 [ or f(2) = f(-3) = 0 ] it will hit the ground at t = 2. t = -3 is something that existed before it was dropped and we can guess that it would have taken 3 second to have risen to its drop height at t = 0. if that makes sense :p

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Yes that makes sense
so you have to do that for the actual question above pattern match with the example if need be
Okay. Thank you so much!! :-)
mp

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