Module 6: Lesson 1
 
Are You Ready?
  1. Mapping can be used to determine the points of

    Point on y = f(x)

    Mapping (3x + 1, 2y +1)

    Point on

    (−3, −2)

    (3(−3) + 1, 2(−2) + 1)

    (−8, −3)

    (−1, 3)

    (3(−1) + 1, 2(3) + 1)

    (−2, 7)

    (1, 0)

    (3(1) + 1, 2(0) + 1)

    (4, 1)

    (3, 2)

    (3(3) + 1, 2(2) + 1)

    (10, 5)

    This is a graph of two functions. The first is f at x that passes through points -3, -2, then -1, 3, then 1, 0, and then 3, 2. The second is 2 times f at one third left bracket x minus one right bracket plus one, which passes through the points -8, -3, then -2, 7, then 3, 1, then 10, 5.

    The graph of has been transformed as follows:
    • vertical stretch by a factor of 2 about the x-axis
    • horizontal stretch by a factor of 3 about the y-axis
    • horizontal translation 1 unit right
    • vertical translation 1 unit up


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