For each situation below, state the transformation(s) that occur between f(x) and g(x).

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1. For each situation below, state the transformation(s) that occur between f(x) and g(x).

| f(x)                | g(x)                 | Transformation(s)                                                  |
|---------------------|----------------------|--------------------------------------------------------------------|
| f(x) = 4x + 5       | g(x) = -4x + 7       | 1. Horizontal shift 3 units to the right                           |
| f(x) = ⅓x - 2       | g(x) = 3(x + 2) - 2  | Vertical scaling by a factor of 9, horizontal shift 7.33 units on the left |
| f(x) = -⅔x + 16     | g(x) = ⅔(x - 3) - 16 | Reflects across x-axis, horizontal shift 6 units to the right      |
| f(x) = 14(x - 3) + 1| g(x) = 7(x + 2) + 1  |                                                                   |
| f(x) = 6(x + 2) + 3 | g(x) = 8(x - 3) + 6  |                                                                   |
| f(x) = 3(x - 1)² + ⅔| g(x) = 3(x - 3)² - ⅔ |                                                                   |
| f(x) = -⅓(x - 2)² + 4| g(x) = -⅓(x + 2) + 6|                                                                   |
| f(x) = 4/3(x - 2/3) + 1/3| g(x) = 2/3(x - 1/3) |                                                               |
Transcribed Image Text:1. For each situation below, state the transformation(s) that occur between f(x) and g(x). | f(x) | g(x) | Transformation(s) | |---------------------|----------------------|--------------------------------------------------------------------| | f(x) = 4x + 5 | g(x) = -4x + 7 | 1. Horizontal shift 3 units to the right | | f(x) = ⅓x - 2 | g(x) = 3(x + 2) - 2 | Vertical scaling by a factor of 9, horizontal shift 7.33 units on the left | | f(x) = -⅔x + 16 | g(x) = ⅔(x - 3) - 16 | Reflects across x-axis, horizontal shift 6 units to the right | | f(x) = 14(x - 3) + 1| g(x) = 7(x + 2) + 1 | | | f(x) = 6(x + 2) + 3 | g(x) = 8(x - 3) + 6 | | | f(x) = 3(x - 1)² + ⅔| g(x) = 3(x - 3)² - ⅔ | | | f(x) = -⅓(x - 2)² + 4| g(x) = -⅓(x + 2) + 6| | | f(x) = 4/3(x - 2/3) + 1/3| g(x) = 2/3(x - 1/3) | |
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