An object is projected upward from the top of a tower. Its distance in feet above the ground after t second?

Question

1. An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground level?
a. 1 second
b. 4 seconds
c. 5 seconds
d. 8 seconds

2. From a square piece of cardboard with width x inches, a square of width x - 3 inches is removed from the center. Write the area of the remaining piece as a function of x.
a. f(x) = 6x - 9
b. f(x) = 6x + 9
c. f(x) = 2x^2 - 9
d. f(x) = 2x^2 - 6x – 9

3. If P(4, -5) is a point on the graph of the function y = f(x), find the corresponding point on the graph of y = 2f(x - 6).
a) A(1, 8)
b) B(2, -5)
c) C(6, 8)
d) D(10,-10)

4. Find all roots of the polynomial x^3 - x^2 + 16x - 16.
a. 1, 4, -4
b. -1, 4, -4
c. -1, 4i, -4i
d. 1, 4i, -4i

5. Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.
a. x^3 - 3x^2 - x + 3
b. x^3 - 3x^2 + x - 3
c. x^3 + 3x^2 - x - 3
d. x^3 + 3x^2 + x + 3

Answer 1

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