Chapter 5 Practice Test, Sections 1-4
Name ____________________________
Directions:
 For each section write the objectives that match the problems in that section
 Show your work for each problem
 Check your answers on blackboard!
Section 1:
Objectives:
1. What is the vertex of y  3x 2  24 x  5 .
1. __________________
2. Write the quadratic function y  2  x  4   9 in Standard Form.
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2. __________________
3. 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. How many units were produced to get the maximum profit?
a) Sketch a graph of the function (label the x- and y-axes with the correct variables from the equation;
estimate the y-intercept, which way will the graph open; label the vertex)
b) Find the maximum weekly profit. How many units were produced to get the maximum profit? (Hint:
is this a quadratic function? If so, how do we find the maximum of a quadratic function?)
3b. __________________
Section 2: Properties of Parabolas
Objectives:
4. What is the axis of symmetry for the quadratic function y  6 x 2  8 x  5 .
4. __________________
5. 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? What is the maximum number of drills sold? (Hint: is this a quadratic
function? If so, where do we find the maximum on a quadratic graph?)
5. __________________
6. Graph y   x 2  6 x  5 . State vertex, line of symmetry,
y intercept. State domain and range.
Section 3: Translating Parabolas
Objectives:
7. What is the y-intercept of y  3  x  4   8 ?
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7. _________________
8. Write the quadratic function y  3x 2  30 x  10 in Vertex Form.
8. __________________
9. Write the equation of the parabola in Vertex Form. Given vertex is (3, -7) and a point the parabola passes
through is (6, 11).
9. __________________
10. Graph y  3  x  4   2 . Describe the translation.
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11. Graph𝑦 = 2(𝑥 − 3)2 − 1. Describe the translation.
Section 4: Factoring
Objectives:
12. 9 x 2  196
13. 8 x 2  10 x  3
14. 10 x 2  36 x  16
15. −𝑥 2 + 5𝑥 − 4
16. 12 x 2  x  6
17. 36 x 3  12 x 2  15 x
18. Problem solve: Firefighters: A smoke jumper jumps from a plane that is 1700 ft above the ground. The
function ℎ = −16𝑡 2 + 1700 gives the jumper’s height h in feet at t seconds. How long is the jumper in free
fall if the parachute opens at 800 ft?