Test 4 Mat 190 Worksheet With Answers - 2008 Page 2
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12. Your company uses the quadratic model y = –4x
+ 325x + 752 to represent how many units y of a new
product will be sold x weeks after its release.
a) How many units can you expect to sell immediately upon release?
752 units
b) How many units can you expect to sell 42 weeks after release?
7346 units
13. Find the equation of the parabola having a
14. A function provides the following data. What
vertex of (2, -3) and passing through (1, 0).
is the degree of the function?
x
y
2
0
0
y = 3(x – 2)
– 3
1
9
Degree 3
2
30
3
75
4
156
5
285
15. A bottle rocket is launched upwards from the ground. Its distance in feet from the ground in “t” seconds is
2
given by d(t) = –16t
+ 512t.
a) At what times will the ball be 0.5-mile from the ground?
b) What is the maximum height of the ball?
(1 mile = 5280 feet)
36.518 seconds
4096 feet
16. A billboard is 12 feet longer than it is high. The billboard has 405 square feet of advertising space. What are
the measurements of the billboard?
15 feet by 27 feet
17. Given the graph of the quadratic equation at the right, find:
a) the x-intercepts of the equation ___(-3, 0) and (1, 0)___
b) the y-intercept of the equation ____(0, 9)______
c) the vertex of the equation ______(-1, 12)_________
d) f(-2) = __9__
2
e) the equation of the parabola ___y = -3(x + 1)
+ 12_____
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