Answer this using the pictures.. a paper airplane is thrown off a 64-foot bridge into the water below. its height, in feet, is represented by f(x) = –16(x2 – 3x – 4), where x is the number of seconds since the airplane was thrown. the height of the airplane is 0 feet when it hits the water.

A. In case you have trouble finding factors of -4 that add to -3, you can read the coordinates of the zeros from the given graph and use those to find the factors.

-4 = -4·1 = -2·2 = -1·4 . . . . . sums of these factors are -3, 0, +3

The factors of -4 you can use in your factors of the equation are -4 and 1:

f(x) = -16(x-4)(x+1)

B. The zeros are the values of x that make the factors become zero. For the first factor, that is x=4. For the second factor, that is x=-1. (You can see these x-intercepts in the graph.)

C. The problem statement tells you f(x) = 0 means the paper airplane is at the level of the water.

D. Since we start measuring time at t=0 when we release the airplane, the value t=-1 has no meaning in this context. No, only one zero has real-world meaning.

E. Since x is the number of seconds since the airplane was thrown, the fact that x=4 when f(x) = 0 means it takes 4 seconds for the airplane to hit the water.

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step-by-step explanation:

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