9. Solve the absolute value inequality − 2 | x − 3 | ≤ − 16 . negative 2 vertical line x minus 3 vertical line less than or equal to negative 16 .
   1. x ≤ − 3  or  x ≥ 4 x less than or equal to , minus 3 , or , x greater than or equal to 4
   2. x ≤ − 5  or  x ≥ 11 x less than or equal to , minus 5 , or , x greater than or equal to 11
   3. − 5 ≤ x ≤ 11 negative 5 less than or equal to x less than or equal to 11
   4. − 11 ≤ x ≤ 5 negative 11 less than or equal to x less than or equal to 5

10. Which equation does the graph represent?

    

    6. y = − | x − 2 | + 3 y equals negative vertical line x minus 2 vertical line plus 3
    7. y = − | x − 3 | + 2 y equals negative vertical line x minus 3 vertical line plus 2
    8. y = − | x − 2 | + 3 y equals negative vertical line x minus 2 vertical line plus 3
    9. y = − | x + 2 | + 3 y equals negative vertical line x plus 2 vertical line plus 3

Gridded Response

11. The power created by a wind turbine varies directly as the cube of the wind speed in miles per hour. A turbine with 30% efficiency spinning in a 50 mile per hour wind can be expected to produce approximately 10,000 watts of electricity. How many watts would the same turbine produce in a 25 mile per hour wind? If necessary, round your answer to the nearest whole number.
12. One root of a cubic equation is 2i. How many real roots does the equation have?
13. What is the value of the real part of the quotient of ( 6 + 4 i )  and  ( 5 − i ) ? open 6 plus 4 i close , and , open 5 minus i close question mark
14. If the solutions of an equation are − 1 , 2 , negative 1 comma 2 comma  and 5, what is the sum of the zeros of the related function?
15. Assume y varies directly with x. If y = − 3 y equals negative 3  when x = − 2 5 , x equals negative , 2 fifths . comma  what is x when y is 45?
16. What is the x-coordinate of the point where a relative maximum of g ( x ) = − 2 x 3 + 6 x 2 − 10 g open x close equals . minus 2 , x cubed , plus , 6 x squared , minus 10  occurs?
17. Using a graph, find the real zero of the function y = 2 x 3 − 2 x 2 + x − 1 . y equals 2 , x cubed , minus , 2 x squared , plus x minus 1 .
18. How many imaginary roots does x 2 − 5 x + 10 = 0 x squared , minus 5 x plus 10 equals 0  have?

Short Response

19. The graph shows line m and point P. Write the equation of a line n that goes through point P and is perpendicular to line m. Show your work.

    

20. A cat ran around part of a telephone pole on a path modeled by the equation y = − x 2 + 4 x − 1 . y equals negative , x squared , plus 4 x minus 1 .  Graph the cat's path in the first quadrant. If the pole is at (2, 0), at what point is the cat furthest from the pole?
21. Solve the equation x 2 − 4 x = 8 x squared , minus 4 x equals 8  by completing the square. Explain whether you could have solved this equation by factoring or using the Quadratic Formula.

Extended Response

22. Use the graph to answer the questions below.

    

    1. Describe the sequence of transformations that would take the graph of the parent function y = x 2 y equals , x squared  to the graph shown.
    2. Identify the zeros of the function represented in the graph and explain your reasoning.
    3. Write the equation of the function in the graph.
    4. Explain how you could check to see that the equation is correct.

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