Chapter 5 Test, Sections 2 – 5.
Form A
Name ____________________________
Period # __________
Section 2: Properties of Parabolas
B. What is the vertex of y  3x 2  24 x  5 .
B. __________________
P. Write the quadratic function y  2  x  4   9 in Standard Form.
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P. __________________
A. Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by
the formula P  3 x 2  6 x  10 , where x is the number of units produced per week, in thousands. Find the
maximum weekly profit.
A. __________________
Section 2: Properties of Parabolas
B. What is the axis of symmetry for the quadratic function y  6 x 2  8 x  5 .
B. __________________
P. A manufacturer determines that the number of drills it can sell is given by the formula
D  3 p 2  180 p  285 , where p is the price of the drills in dollars. At what price will the manufacturer sell
the maximum number of drills?
P. __________________
A. Graph y   x 2  6 x  5 . Fill in the table like we did in class.
Section 3: Transforming Parabolas
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B. What is the y-intercept of y  3  x  4   8 ?
B. __________________
P. Write the quadratic function y  3x 2  30 x  10 in Vertex Form.
P. __________________
A. Determine a and k so both points are on the graph of the function. (1, -8), (6, 2); y  a  x  4   k .
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A. __________________
Section 3: Transforming Parabolas
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B. What is the vertex of y  3  x  4   8 ?
B. __________________
P. Write the equation of the parabola in Vertex Form. Given vertex is (3, -7) and a point the parabola passes
through is (6, 11).
P. __________________
A. Graph y  3  x  4   2 . Fill in the table like we did in class.
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Section 4: Factoring
B. Factor 9 x 2  196
B. __________________
P. Factor 8 x 2  10 x  3
P. __________________
A. Factor 10 x 2  36 x  16
A. __________________
Section 4: Factoring
B. Factor x 2  10 x  24
B. __________________
P. Factor 12 x 2  x  6
P. __________________
A. Factor 36 x 3  12 x 2  15 x
A. __________________
Section 5:
B. Solve 4 x 2  25  0
B. __________________
P. Firefighters: A smoke jumper jumps from a plane that is 1700 ft above the ground. The function
y  16t 2  1700 gives the jumper’s height y in feet at t seconds. How long is the jumper in free fall if the
parachute opens at 800 ft?
P. __________________
A. One solution to the equation 3x 2  bx  8  0 is 4. Find the other solution.
A. __________________
Section 5:
B. Solve x 2  5 x  6  0
B. __________________
P. Solve  x  6   20
P. __________________
A. Find the product of the solutions to the equation 2 x 2  7 x  15 .
A. __________________
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