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25 January, 11:25

For each function, list the values of a, k, d, and c and describe the resulting transformation. Graph stage for each transformation in a different colour to get the final function on the same grid. make sure for each question your graphs large to minimize clutter.

1. g (x) = - 2 / (2x+2) + 2

2. h (x) = - 2 (3x-6) cube3-3

3. a (x) = 1/2 (2x+4) square2+3

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  1. 25 January, 12:54
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    1. g (x) = 2 / (2x + 2) + 2

    g (x) = 2 + 2

    2x + 2 1

    g (x) = 2 (1) (2x + 2) + 2 (1) (2x + 2)

    (2x + 2) (1) (2x + 2) (1)

    g (x) = 4x + 4 + 4x + 4

    4x + 4 4x + 4

    g (x) = 8x + 8

    4x + 4

    g (x) = 2x + 2

    2. h (x) = - 2 (3x - 6) ³ - 3

    h (x) = - 2 (3x - 6) (3x - 6) (3x - 6) - 3

    h (x) = - 2 (3x² - 18x - 18x + 36) (3x - 6) - 3

    h (x) = - 2 (3x² - 36x + 36) (3x - 6) - 3

    h (x) = - 2 (9x³ - 18x² - 108x² + 216x + 108x - 216) - 3

    h (x) = - 2 (9x³ - 126x² + 324x - 216) - 3

    h (x) = - 18x³ + 252x² - 648x + 432 - 3

    h (x) = - 18x³ + 252x² - 648x + 429

    3. a (x) = 1/2 (2x + 4) ² + 3

    a (x) = 1/2 (2x + 4) (2x + 4) + 3

    a (x) = 1/2 (4x² + 8x + 8x + 16) + 3

    a (x) = 1/2 (4x² + 16x + 16) + 3

    a (x) = 2x² + 8x + 8 + 3

    a (x) = 2x² + 8x + 11
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