C Challenge

Using the graph of the function f(x) shown, sketch the graph of each transformed function.

46. f ( x + 1 ) f open x plus 1 close
47. f ( x ) − 2 f open x close minus 2
48. f ( x + 2 ) + 1 f open x plus 2 close plus 1
49. − 2 f ( x ) negative 2 f open x close
50. Graph all of the following functions in the same viewing window. After you enter each new function, view its graph.
    1. y = x 2 y equals , x squared
    2. y = x 2 + 2 y equals , x squared , plus 2
    3. y = ( x + 2 ) 2 y equals . open x plus 2 close squared
    4. y = ( x − 1 ) 2 − 4 y equals . open x minus 1 close squared . minus 4
    5. y = − x 2 − 2 y equals , negative x squared , minus 2

    Based on your results, make a sketch of the graph of f ( x ) = − ( x + 2 ) 2 + 1 f open x close equals negative . open x plus 2 close squared . plus 1  and check your prediction on your calculator.

Standardized Test Prep

SAT/ACT

What is an equation for each vertical translation of y = 2 x − 1 ? y equals 2 x minus 1 question mark

51. 3 units down
    1. y = 2 x − 7 y equals 2 x minus 7
    2. y = 2 x + 2 y equals 2 x plus 2
    3. y = 2 x + 5 y equals 2 x plus 5
    4. y = 2 x − 4 y equals 2 x minus 4
52. 3 5  units up  3 fifths . unitsup
    6. y = 2 x − 2 5 y equals 2 x minus , 2 fifths
    7. y = 2 x − 11 5 y equals 2 x minus , 11 over 5
    8. y = 2 x − 8 5 y equals 2 x minus , 8 fifths
    9. y = 2 x + 1 5 y equals 2 x plus , 1 fifth

53. What is the slope of the line in the graph below?

    

    1. − 5 2 negative , 5 halves
    2. − 2 5 negative , 2 fifths
    3. 2 5 2 fifths
    4. 5 2 5 halves

Short Response

54. The weight of a gold bar varies directly with its volume. If a 40  cm  3 40 , cm cubed  bar weighs 772 grams, how much will a 100  cm  3 100 . cm cubed  bar weigh?

Mixed Review

See Lesson 2-5.

55. A musician's manager keeps track of the ticket prices and the attendance at recent performances. Use a graphing calculator to determine the equation of the line of best fit for the given data.

    Ticket Prices($)	41.00	41.50	42.00	43.00	43.50	44.00	44.50	45.00	45.00	47.00
    Number Sold	256	276	250	241	210	235	195	194	205	180

Get Ready! To prepare for Lesson 2-7, do Exercises 56–58.

See Lesson 1-6.

Solve each absolute value equation.

56. | x − 3 | + 2 = 7 vertical line x minus 3 vertical line plus 2 equals 7
57. | 2 x + 1 | − 14 = 9 vertical line 2 x plus 1 vertical line negative 14 equals 9
58. 1 3 | 5 x − 3 | = 6 1 third , vertical line 5 x minus 3 vertical line equals 6

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