Final answer:
The transformation of y = 9 + 3x with |3| is a vertical stretch by a factor of 3.
Step-by-step explanation:
The given equation is y = 9 + 3x. By comparing it to the equation y = mx + b, we can see that the slope (m) is 3 and the y-intercept (b) is 9.
The transformation of y = 9 + 3x with |3| is a vertical stretch by a factor of 3. This means the graph of the equation will be stretched vertically, making the line steeper.
For example, if we take a point on the original line, such as (0, 9), the transformed point (0, 27) will be three times higher on the graph.