Standardized Test Prep

SAT/ACT

51. The graph shows which equation?

    

    1. y = | 3 x − 1 | + 2 y equals vertical line 3 x minus 1 vertical line plus 2
    2. y = | x − 1 | + 2 y equals vertical line x minus 1 vertical line plus 2
    3. y = | x − 1 | − 2 y equals vertical line x minus 1 vertical line negative 2
    4. y = | 3 x − 3 | − 2 y equals vertical line 3 x minus 3 vertical line negative 2
52. How are the graphs of y = 2 x y equals 2 x and y = 2 x + 2 y equals 2 x plus 2  related?
    6. The graph of y = 2 x + 2 y equals 2 x plus 2  is the graph of y = 2 x y equals 2 x translated down two units.
    7. The graph of y = 2 x + 2 y equals 2 x plus 2  is the graph of y = 2 x y equals 2 x translated up two units.
    8. The graph of y = 2 x + 2 y equals 2 x plus 2  is the graph of y = 2 x y equals 2 x translated to the left two units.
    9. The graph of y = 2 x + 2 y equals 2 x plus 2  is the graph of y = 2 x y equals 2 x translated to the right two units.
53. What is the equation of a line parallel to y = x y equals x  that passes through the point (0, 1)?
    1. y = x + 1 y equals x plus 1
    2. y = 2 x + 2 y equals 2 x plus 2
    3. y = x − 1 y equals x minus 1
    4. y = − x y equals negative x

Short Response

54. Is |y| = x a function? Explain.

Mixed Review

Write an equation for each transformation of the graph of y = x + 2. See Lesson 2-6.

55. 2 units up, 3 units right
56. vertical compression by a factor of 1 2 , 1 half , comma  reflection in the y-axis

Write the function rule for each function reflected in the given axis.

57. f ( x ) = x − 7 ; y -axis f open x close equals x minus 7 semicolon y , minusaxis
58. f ( x ) = 2 x − 6 ; y -axis f open x close equals 2 x minus 6 semicolon y , minusaxis
59. f(x) = 4 + x; x-axis

Find a trend line for each scatter plot. Write the equation for each trend line. See Lesson 2-5.

Get Ready! To prepare for Lesson 2-8, do Exercises 62–64.

Solve each inequality. Graph the solution on a number line. See Lesson 1-5.

62. 12 p ≤ 15 12 p less than or equal to 15
63. 4 + t > 17 4 plus t greater than 17
64. 5 − 2 t ≥ 11 5 minus 2 t greater than or equal to 11

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